{"id":1871,"date":"2022-11-03T07:29:23","date_gmt":"2022-11-03T07:29:23","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1871"},"modified":"2022-11-03T07:29:23","modified_gmt":"2022-11-03T07:29:23","slug":"ncert-solutions-class-7-maths-chapter-4-simple-equations-ex-4-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-4-simple-equations-ex-4-3\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 4 Simple Equations Ex 4.3"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 4 (Simple Equations)<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 7 Mathematics <strong>Chapter &#8211; 4 Simple Equations <\/strong>Exercise 4.3 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 4 Simple Equations<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-4-simple-equations-ex-4-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 4.1<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-4-simple-equations-ex-4-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 4.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-4-simple-equations-ex-4-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 4.4<\/a><\/span><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 4.3\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Solve the following equations:<br \/>\n<\/strong><strong>(a) 2y + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{37}{2}}\" alt=\"\\mathbf{\\frac{37}{2}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 5t + 28 = 10<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{a}{5}}\" alt=\"\\mathbf{\\frac{a}{5}}\" align=\"absmiddle\" \/> + 3 = 2<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{q}{4}}\" alt=\"\\mathbf{\\frac{q}{4}}\" align=\"absmiddle\" \/> + 7 = 5<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/>x = &#8211; 5<br \/>\n<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/> x = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{25}{4}}\" alt=\"\\mathbf{\\frac{25}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) 7m + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{19}{2}}\" alt=\"\\mathbf{\\frac{19}{2}}\" align=\"absmiddle\" \/> = 13<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h) 6z + 10 = \u2013 2<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{2}}\" alt=\"\\mathbf{\\frac{3}{2}}\" align=\"absmiddle\" \/> l = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(j) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2b}{3}}\" alt=\"\\mathbf{\\frac{2b}{3}}\" align=\"absmiddle\" \/> \u2013 5 = 3<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n(a) 2y + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{37}{2}}\" alt=\"\\mathbf{\\frac{37}{2}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">By transposing <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{2}\" alt=\"\\frac{5}{2}\" align=\"absmiddle\" \/> from LHS to RHS it becomes &#8211;<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{2}\" alt=\"\\frac{5}{2}\" align=\"absmiddle\" \/><br \/>\nThen,<br \/>\n\u21d2 2y = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{37}{2}\" alt=\"\\frac{37}{2}\" align=\"absmiddle\" \/> \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{2}\" alt=\"\\frac{5}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{37-5}{2}\" alt=\"\\frac{37-5}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{32}{2}\" alt=\"\\frac{32}{2}\" align=\"absmiddle\" \/><br \/>\nNow,<br \/>\nDivide both side by 2,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2y}{2}\" alt=\"\\frac{2y}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{\\frac{32}{2}}{2}\" alt=\"\\frac{\\frac{32}{2}}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 y = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{32}{2}\" alt=\"\\frac{32}{2}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 y = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{32}{4}\" alt=\"\\frac{32}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 y = 8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 5t + 28 = 10<br \/>\n<\/strong>By transposing 28 from LHS to RHS it becomes -28<br \/>\n\u21d2 5t = 10 \u2013 28<br \/>\n\u21d2 5t = \u2013 18<br \/>\nNow,<br \/>\nDivide both side by 5,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5t}{5}\" alt=\"\\frac{5t}{5}\" align=\"absmiddle\" \/> = &#8211; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{18}{5}\" alt=\"\\frac{18}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 t = &#8211; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{18}{5}\" alt=\"\\frac{18}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{a}{5}}\" alt=\"\\mathbf{\\frac{a}{5}}\" align=\"absmiddle\" \/> + 3 = 2<br \/>\n<\/strong>By transposing 3 from LHS to RHS it becomes -3<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{a}{5}\" alt=\"\\frac{a}{5}\" align=\"absmiddle\" \/> = 2 \u2013 3 = \u2013 1<br \/>\nNow,<br \/>\nMultiply both side by 5,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{a}{5}\" alt=\"\\frac{a}{5}\" align=\"absmiddle\" \/> \u00d7 5 = -1 \u00d7 5<br \/>\n\u21d2 a = &#8211; 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{q}{4}}\" alt=\"\\mathbf{\\frac{q}{4}}\" align=\"absmiddle\" \/> + 7 = 5<br \/>\n<\/strong>By transposing 7 from LHS to RHS it becomes -7<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{q}{4}\" alt=\"\\frac{q}{4}\" align=\"absmiddle\" \/> = 5 \u2013 7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{q}{4}\" alt=\"\\frac{q}{4}\" align=\"absmiddle\" \/> = \u2013 2<br \/>\nNow,<br \/>\nMultiply both side by 4,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{q}{4}\" alt=\"\\frac{q}{4}\" align=\"absmiddle\" \/> \u00d7 4= -2 \u00d7 4<br \/>\n\u21d2 q = -8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/>x = &#8211; 5<br \/>\n<\/strong>First we have to multiply both the side by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5x}{2}\" alt=\"\\frac{5x}{2}\" align=\"absmiddle\" \/> \u00d7 2 = \u2013 5 \u00d7 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 5x = \u2013 10<br \/>\nNow,<br \/>\nWe have to divide both the side by 5,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5x}{5}\" alt=\"\\frac{5x}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-10}{5}\" alt=\"\\frac{-10}{5}\" align=\"absmiddle\" \/><br \/>\n\u21d2 x = -2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/> x = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{25}{4}}\" alt=\"\\mathbf{\\frac{25}{4}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>First we have to multiply both the side by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5x}{2}\" alt=\"\\frac{5x}{2}\" align=\"absmiddle\" \/> \u00d7 2 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{4}\" alt=\"\\frac{25}{4}\" align=\"absmiddle\" \/> \u00d7 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 5x = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{2}\" alt=\"\\frac{25}{2}\" align=\"absmiddle\" \/><br \/>\nNow,<br \/>\nWe have to divide both the side by 5,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5x}{2}\" alt=\"\\frac{5x}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{\\frac{25}{2}}{5}\" alt=\"\\frac{\\frac{25}{2}}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 x = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{2}\" alt=\"\\frac{25}{2}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{5}\" alt=\"\\frac{1}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 x = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{2}\" alt=\"\\frac{5}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) 7m + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{19}{2}}\" alt=\"\\mathbf{\\frac{19}{2}}\" align=\"absmiddle\" \/> = 13<br \/>\n<\/strong>By transposing <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{19}{2}\" alt=\"\\frac{19}{2}\" align=\"absmiddle\" \/> from LHS to RHS it becomes &#8211; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{19}{2}\" alt=\"\\frac{19}{2}\" align=\"absmiddle\" \/><br \/>\nThen,<br \/>\n\u21d2 7m = 13 \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{19}{2}\" alt=\"\\frac{19}{2}\" align=\"absmiddle\" \/><br \/>\n\u21d2 7m = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(26-19)}{2}\" alt=\"\\frac{(26-19)}{2}\" align=\"absmiddle\" \/><br \/>\n\u21d2 7m = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/><br \/>\nNow,<br \/>\nDivide both side by 7,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7m}{7}\" alt=\"\\frac{7m}{7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{\\frac{7}{2}}{7}\" alt=\"\\frac{\\frac{7}{2}}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 m = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{7}\" alt=\"\\frac{1}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 m = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h) 6z + 10 = \u2013 2<br \/>\n<\/strong>By transposing 10 from LHS to RHS it becomes \u2013 10<br \/>\nThen,<br \/>\n\u21d2 6z = -2 \u2013 10<br \/>\n\u21d2 6z = \u2013 12<br \/>\nNow,<br \/>\nDivide both side by 6,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6z}{6}\" alt=\"\\frac{6z}{6}\" align=\"absmiddle\" \/> = &#8211; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{6}\" alt=\"\\frac{12}{6}\" align=\"absmiddle\" \/><br \/>\n\u21d2 z = \u2013 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{2}}\" alt=\"\\mathbf{\\frac{3}{2}}\" align=\"absmiddle\" \/> l = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/><br \/>\n<\/strong>First we have to multiply both the side by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3l}{2}\" alt=\"\\frac{3l}{2}\" align=\"absmiddle\" \/> \u00d7 2 = <strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/><\/strong> \u00d7 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 3l = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{3}\" alt=\"\\frac{4}{3}\" align=\"absmiddle\" \/><br \/>\nNow,<br \/>\nWe have to divide both the side by 3,<br \/>\nThen we get,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3l}{3}\" alt=\"\\frac{3l}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{\\frac{4}{3}}{3}\" alt=\"\\frac{\\frac{4}{3}}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 l = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{3}\" alt=\"\\frac{4}{3}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{3}\" alt=\"\\frac{1}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 x = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{9}\" alt=\"\\frac{4}{9}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(j) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2b}{3}}\" alt=\"\\mathbf{\\frac{2b}{3}}\" align=\"absmiddle\" \/> \u2013 5 = 3<br \/>\n<\/strong>By transposing -5 from LHS to RHS it becomes 5<br \/>\nThen,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2b}{3}\" alt=\"\\frac{2b}{3}\" align=\"absmiddle\" \/> = 3 + 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2b}{3}\" alt=\"\\frac{2b}{3}\" align=\"absmiddle\" \/> = 8<br \/>\nNow,<br \/>\nMultiply both side by 3,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2b}{3}\" alt=\"\\frac{2b}{3}\" align=\"absmiddle\" \/> \u00d7 3 = 8 \u00d7 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 2b = 24<br \/>\nDivide both side by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2b}{2}\" alt=\"\\frac{2b}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{24}{2}\" alt=\"\\frac{24}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 b = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Solve the following equations:<br \/>\n<\/strong><strong>(a) 2 (x + 4) = 12<br \/>\n(b) 3 (n \u2013 5) = 21<br \/>\n(c) 3 (n \u2013 5) = \u2013 21<br \/>\n(d) \u2013 4 (2 + x) = 8<br \/>\n(e) 4 (2 \u2013 x) = 8<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(a) 2 (x + 4) = 12<\/strong><br \/>\nLet us divide both the side by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(2(x&amp;space;+&amp;space;4))}{2}\" alt=\"\\frac{(2(x + 4))}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{2}\" alt=\"\\frac{12}{2}\" align=\"absmiddle\" \/><br \/>\n\u21d2 x + 4 = 6<br \/>\nBy transposing 4 from LHS to RHS it becomes -4<br \/>\n\u21d2 x = 6 \u2013 4<br \/>\n\u21d2 x = 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 3 (n \u2013 5) = 21<br \/>\n<\/strong>Let us divide both the side by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3(n-5)}{3}\" alt=\"\\frac{3(n-5)}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{3}\" alt=\"\\frac{21}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 n \u2013 5 = 7<br \/>\nBy transposing -5 from LHS to RHS it becomes 5<br \/>\n\u21d2 n = 7 + 5<br \/>\n\u21d2 n = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 3 (n \u2013 5) = \u2013 21<br \/>\n<\/strong>Let us divide both the side by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3(n-5)}{3}\" alt=\"\\frac{3(n-5)}{3}\" align=\"absmiddle\" \/> = \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{3}\" alt=\"\\frac{21}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 n \u2013 5 = -7<br \/>\nBy transposing -5 from LHS to RHS it becomes 5<br \/>\n\u21d2 n = \u2013 7 + 5<br \/>\n\u21d2 n = \u2013 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) \u2013 4 (2 + x) = 8<br \/>\n<\/strong>Let us divide both the side by -4,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-4(2+x)}{-4}\" alt=\"\\frac{-4(2+x)}{-4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{-4}\" alt=\"\\frac{8}{-4}\" align=\"absmiddle\" \/><br \/>\n\u21d2 2 + x = -2<br \/>\nBy transposing 2 from LHS to RHS it becomes \u2013 2<br \/>\n\u21d2 x = -2 \u2013 2<br \/>\n\u21d2 x = \u2013 4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) 4 (2 \u2013 x) = 8<br \/>\n<\/strong>Let us divide both the side by 4,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4(2-x)}{4}\" alt=\"\\frac{4(2-x)}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{4}\" alt=\"\\frac{8}{4}\" align=\"absmiddle\" \/><br \/>\n\u21d2 2 \u2013 x = 2<br \/>\nBy transposing 2 from LHS to RHS it becomes \u2013 2<br \/>\n\u21d2 \u2013 x = 2 \u2013 2<br \/>\n\u21d2 \u2013 x = 0<br \/>\n\u21d2 x = 0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Solve the following equations:<br \/>\n<\/strong><strong>(a) 4 = 5 (p \u2013 2)<br \/>\n(b) \u2013 4 = 5 (p \u2013 2)<br \/>\n(c) 16 = 4 + 3 (t + 2)<br \/>\n(d) 4 + 5(p \u2013 1) =34<br \/>\n(e) 0 = 16 + 4(m \u2013 6)<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(a) 4 = 5 (p \u2013 2)<\/strong><br \/>\nLet us divide both the side by 5,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\" alt=\"\\frac{4}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5(p-2)}{5}\" alt=\"\\frac{5(p-2)}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\" alt=\"\\frac{4}{5}\" align=\"absmiddle\" \/> = p &#8211; 2<br \/>\nBy transposing \u2013 2 from RHS to LHS it becomes 2<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\" alt=\"\\frac{4}{5}\" align=\"absmiddle\" \/> + 2 = p<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(4+10)}{5}\" alt=\"\\frac{(4+10)}{5}\" align=\"absmiddle\" \/> = p<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 p = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{14}{5}\" alt=\"\\frac{14}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{4}{5}\" alt=\"2\\frac{4}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) \u2013 4 = 5 (p \u2013 2)<br \/>\n<\/strong>Let us divide both the side by 5,<br \/>\n\u21d2 \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\" alt=\"\\frac{4}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5(p-2)}{5}\" alt=\"\\frac{5(p-2)}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\" alt=\"\\frac{4}{5}\" align=\"absmiddle\" \/> = p &#8211; 2<br \/>\nBy transposing \u2013 2 from RHS to LHS it becomes 2<br \/>\n\u21d2 \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\" alt=\"\\frac{4}{5}\" align=\"absmiddle\" \/> + 2 = p<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(-4+10)}{5}\" alt=\"\\frac{(-4+10)}{5}\" align=\"absmiddle\" \/> = p<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 p = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{5}\" alt=\"\\frac{6}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{5}\" alt=\"1\\frac{1}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 16 = 4 + 3 (t + 2)<br \/>\n<\/strong>By transposing 4 from RHS to LHS it becomes \u2013 4<br \/>\n\u21d2 16 \u2013 4 = 3 (t + 2)<br \/>\n\u21d2 12 = 3 (t + 2)<br \/>\nLet us divide both the side by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{3}\" alt=\"\\frac{12}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3(t+2)}{3}\" alt=\"\\frac{3(t+2)}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 4 = t + 2<br \/>\nBy transposing 2 from RHS to LHS it becomes \u2013 2<br \/>\n\u21d2 4 \u2013 2 = t<br \/>\n\u21d2\u00a0t = 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 4 + 5(p \u2013 1) =34<br \/>\n<\/strong>By transposing 4 from LHS to RHS it becomes \u2013 4<br \/>\n\u21d2 5 (p \u2013 1) = 34 \u2013 4<br \/>\n\u21d2 5 (p \u2013 1) = 30<br \/>\nLet us divide both the side by 5,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5(p-1)}{5}\" alt=\"\\frac{5(p-1)}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{30}{5}\" alt=\"\\frac{30}{5}\" align=\"absmiddle\" \/><br \/>\n\u21d2 p \u2013 1 = 6<br \/>\nBy transposing \u2013 1 from RHS to LHS it becomes 1<br \/>\n\u21d2 p = 6 + 1<br \/>\n\u21d2 p = 7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) 0 = 16 + 4(m \u2013 6)<br \/>\n<\/strong>By transposing 16 from RHS to LHS it becomes \u2013 16<br \/>\n\u21d2 0 \u2013 16 = 4(m \u2013 6)<br \/>\n\u21d2 \u2013 16 = 4(m \u2013 6)<br \/>\nLet us divide both the side by 4,<br \/>\n\u21d2 \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{16}{4}\" alt=\"\\frac{16}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4(m-6)}{4}\" alt=\"\\frac{4(m-6)}{4}\" align=\"absmiddle\" \/><br \/>\n\u21d2 \u2013 4 = m \u2013 6<br \/>\nBy transposing \u2013 6 from RHS to LHS it becomes 6<br \/>\n\u21d2 \u2013 4 + 6 = m<br \/>\n\u21d2 m = 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. (a) Construct 3 equations starting with x = 2<br \/>\n(b) Construct 3 equations starting with x = \u2013 2<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(a) Construct 3 equations starting with x = 2<\/strong><br \/>\n<strong>First equation is,<\/strong><br \/>\nMultiply both side by 6<br \/>\n\u21d2 6x = 12\u00a0 &#8212;&#8212;&#8212;&#8212;&#8212;- <strong>[equation 1]<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Second equation is,<\/strong><br \/>\nSubtracting 4 from both side,<br \/>\n\u21d2 6x \u2013 4 = 12 &#8211; 4<br \/>\n\u21d2 6x \u2013 4 = 8 &#8212;&#8212;&#8212;&#8212;&#8212;-\u00a0 <strong>[equation 2]<\/strong><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Third equation is,<\/strong><br \/>\nDivide both side by 6<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6x}{6}\" alt=\"\\frac{6x}{6}\" align=\"absmiddle\" \/> \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{6}\" alt=\"\\frac{4}{6}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{6}\" alt=\"\\frac{8}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 x \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{6}\" alt=\"\\frac{4}{6}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{6}\" alt=\"\\frac{8}{6}\" align=\"absmiddle\" \/>\u00a0 &#8212;&#8212;&#8212;&#8212;&#8212;-\u00a0 <strong>[equation 3]<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) Construct 3 equations starting with x = \u2013 2<br \/>\n<\/strong><strong>First equation is,<\/strong><br \/>\nMultiply both side by 5<br \/>\n\u21d2 5x = &#8211; 10 &#8212;&#8212;&#8212;&#8212;&#8212;-\u00a0 <strong>[equation 1]<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Second equation is,<br \/>\n<\/strong>Subtracting 3 from both side,<br \/>\n\u21d2 5x \u2013 3 = \u2013 10 \u2013 3<br \/>\n\u21d2 5x \u2013 3 = \u2013 13 &#8212;&#8212;&#8212;&#8212;&#8212;-\u00a0 <strong>[equation 2]<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Third equation is,<br \/>\n<\/strong>Dividing both sides by 2<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5x}{2}\" alt=\"\\frac{5x}{2}\" align=\"absmiddle\" \/> \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-13}{2}\" alt=\"\\frac{-13}{2}\" align=\"absmiddle\" \/> &#8212;&#8212;&#8212;&#8212;&#8212;-\u00a0 <strong>[equation 3]<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 4 (Simple Equations) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 4 Simple Equations Exercise 4.3 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 4 Simple Equations NCERT Solution Class 7 Maths Exercise &#8211; 4.1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[288,289,283,5],"class_list":["post-1871","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-4-simple-equations-in-english","tag-ncert-solutions-class-7-maths-chapter-4-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - 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