{"id":1870,"date":"2022-11-03T07:29:14","date_gmt":"2022-11-03T07:29:14","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1870"},"modified":"2022-11-03T07:29:14","modified_gmt":"2022-11-03T07:29:14","slug":"ncert-solutions-class-7-maths-chapter-4-simple-equations-ex-4-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-4-simple-equations-ex-4-2\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 4 Simple Equations Ex 4.2"},"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 4.2 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-4-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 4.3<\/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; 4.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Give first the step you will use to separate the variable and then solve the equation:<br \/>\n<\/strong><strong>(a)\u00a0<em>x\u00a0<\/em>\u2013 1 = 0<br \/>\n(b) x + 1 = 0<br \/>\n(c) x \u2013 1 = 5<br \/>\n(d) x + 6 = 2<br \/>\n(e) y \u2013 4 = -7<br \/>\n(f) y -4 = 4<br \/>\n(g) y + 4 = 4<br \/>\n(h) y + 4 = -4<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(a)\u00a0<em>x\u00a0<\/em>\u2013 1 = 0<br \/>\n<\/strong>We have to add 1 to both the side of given equation,<br \/>\nThen we get,<br \/>\n\u21d2 x \u2013 1 + 1 = 0 + 1<br \/>\n\u21d2 x = 1<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)\u00a0<em>x\u00a0<\/em>+ 1 = 0<br \/>\n<\/strong>We have to subtract 1 to both the side of given equation,<br \/>\nThen we get,<br \/>\n\u21d2 x + 1 \u2013 1 = 0 \u2013 1<br \/>\n\u21d2 x = \u2013 1<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)\u00a0<em>x\u00a0<\/em>\u2013 1 = 5<br \/>\n<\/strong>We have to add 1 to both the side of given equation,<br \/>\n\u21d2 x \u2013 1 + 1 = 5 + 1<br \/>\n\u21d2 x = 6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)\u00a0<em>x\u00a0<\/em>+ 6 = 2<br \/>\n<\/strong>We have to subtract 6 to both the side of given equation,<br \/>\n\u21d2 x + 6 \u2013 6 = 2 \u2013 6<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)\u00a0<em>y\u00a0<\/em>\u2013 4 = \u2013 7<br \/>\n<\/strong>We have to add 4 to both the side of given equation,<br \/>\n\u21d2 y \u2013 4 + 4 = \u2013 7 + 4<br \/>\n\u21d2 y = \u2013 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f)\u00a0<em>y\u00a0<\/em>\u2013 4 = 4<br \/>\n<\/strong>We have to add 4 to both the side of given equation,<br \/>\n\u21d2 y \u2013 4 + 4 = 4 + 4<br \/>\n\u21d2 y = 8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g)\u00a0<em>y\u00a0<\/em>+ 4 = 4<br \/>\n<\/strong>We have to subtract 4 to both the side of given equation,<br \/>\n\u21d2 y + 4 \u2013 4 = 4 \u2013 4<br \/>\n\u21d2 y = 0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h)\u00a0<em>y\u00a0<\/em>+ 4 = \u2013 4<br \/>\n<\/strong>We have to subtract 4 to both the side of given equation,<br \/>\n\u21d2 y + 4 \u2013 4 = \u2013 4 \u2013 4<br \/>\n\u21d2 y = \u2013 8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Give first the step you will use to separate the variable and then solve the equation:<br \/>\n<\/strong><strong>(a)\u00a03l = 42<br \/>\n(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{b}{2}}\" alt=\"\\mathbf{\\frac{b}{2}}\" align=\"absmiddle\" \/> = 6<\/strong><\/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{p}{7}}\" alt=\"\\mathbf{\\frac{p}{7}}\" align=\"absmiddle\" \/>\u00a0= 4<br \/>\n(d)\u00a04x = 25<br \/>\n(e) 8y = 36<\/strong><\/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{z}{3}}\" alt=\"\\mathbf{\\frac{z}{3}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{4}}\" alt=\"\\mathbf{\\frac{5}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{a}{5}}\" alt=\"\\mathbf{\\frac{a}{5}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{15}}\" alt=\"\\mathbf{\\frac{7}{15}}\" align=\"absmiddle\" \/><br \/>\n(h)\u00a020t = \u2013 10<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n(a) 3l = 42<br \/>\n<\/strong>Now we have to divide both sides of the equation by 3,<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{42}{3}\" alt=\"\\frac{42}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 l = 14<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{b}{2}}\" alt=\"\\mathbf{\\frac{b}{2}}\" align=\"absmiddle\" \/> = 6<br \/>\n<\/strong>Now we have to multiply both sides of the equation by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{b}{2}\" alt=\"\\frac{b}{2}\" align=\"absmiddle\" \/> \u00d7 2= 6 \u00d7 2<br \/>\n\u21d2 b = 12<\/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{p}{7}}\" alt=\"\\mathbf{\\frac{p}{7}}\" align=\"absmiddle\" \/> = 4<br \/>\n<\/strong>Now we have to multiply both sides of the equation by 7,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{p}{7}\" alt=\"\\frac{p}{7}\" align=\"absmiddle\" \/> \u00d7 7 = 4 \u00d7 7<br \/>\n\u21d2 p = 28<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 4x = 25<br \/>\n<\/strong>Now we have to divide both sides of the equation by 4,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4x}{4}\" alt=\"\\frac{4x}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{4}\" alt=\"\\frac{25}{4}\" 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}{4}\" alt=\"\\frac{25}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?6\\frac{1}{4}\" alt=\"6\\frac{1}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) 8y = 36<br \/>\n<\/strong>Now we have to divide both sides of the equation by 8,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8y}{8}\" alt=\"\\frac{8y}{8}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{36}{6}\" alt=\"\\frac{36}{6}\" 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{9}{2}\" alt=\"\\frac{9}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{1}{2}\" alt=\"4\\frac{1}{2}\" align=\"absmiddle\" \/><\/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{z}{3}}\" alt=\"\\mathbf{\\frac{z}{3}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{4}}\" alt=\"\\mathbf{\\frac{5}{4}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Now we have to multiply both sides of the equation by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{z}{3}\" alt=\"\\frac{z}{3}\" align=\"absmiddle\" \/> \u00d7 3 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{4}\" alt=\"\\frac{5}{4}\" align=\"absmiddle\" \/> \u00d7 3<\/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{15}{4}\" alt=\"\\frac{15}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?3\\frac{3}{4}\" alt=\"3\\frac{3}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{a}{5}}\" alt=\"\\mathbf{\\frac{a}{5}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{15}}\" alt=\"\\mathbf{\\frac{7}{15}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Now we have to multiply both sides of the equation by 5,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{a}{5}\" alt=\"\\frac{a}{5}\" align=\"absmiddle\" \/> \u00d7 5 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{15}\" alt=\"\\frac{7}{15}\" align=\"absmiddle\" \/> \u00d7 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 a = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{3}\" alt=\"2\\frac{1}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h) 20t = \u2013 10<br \/>\n<\/strong>Now we have to divide both sides of the equation by 20,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20t}{20}\" alt=\"\\frac{20t}{20}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-10}{20}\" alt=\"\\frac{-10}{20}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 x = \u2013 \u00bd<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Give the steps you will use to separate the variable and then solve the equation:<br \/>\n<\/strong><strong>(a) 3n \u2013 2 = 46<br \/>\n(b) 5m + 7 = 17<\/strong><\/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{20p}{3}}\" alt=\"\\mathbf{\\frac{20p}{3}}\" align=\"absmiddle\" \/> = 40<\/strong><\/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{3p}{10}}\" alt=\"\\mathbf{\\frac{3p}{10}}\" align=\"absmiddle\" \/>\u00a0= 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) 3n \u2013 2 = 46<\/strong><br \/>\nFirst we have to add 2 to the both sides of the equation,<br \/>\n\u21d2 3n \u2013 2 + 2 = 46 + 2<br \/>\n\u21d2\u00a03n = 48<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3n}{3}\" alt=\"\\frac{3n}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{48}{3}\" alt=\"\\frac{48}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 n = 16<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 5m + 7 = 17<br \/>\n<\/strong>First we have to subtract 7 to the both sides of the equation,<br \/>\n\u21d2 5m + 7 \u2013 7 = 17 \u2013 7<br \/>\n\u21d2 5m = 10<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 5,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5m}{5}\" alt=\"\\frac{5m}{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 m = 2<\/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{20p}{3}}\" alt=\"\\mathbf{\\frac{20p}{3}}\" align=\"absmiddle\" \/> = 40<br \/>\n<\/strong>First we have to multiply both sides of the equation by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20p}{3}\" alt=\"\\frac{20p}{3}\" align=\"absmiddle\" \/>\u00a0\u00d7 3 = 40 \u00d7 3<br \/>\n\u21d2 20p = 120<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 20,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20p}{20}\" alt=\"\\frac{20p}{20}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{120}{20}\" alt=\"\\frac{120}{20}\" align=\"absmiddle\" \/><br \/>\n\u21d2 p = 6<\/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{3p}{10}}\" alt=\"\\mathbf{\\frac{3p}{10}}\" align=\"absmiddle\" \/>\u00a0= 6<br \/>\n<\/strong>First we have to multiply both sides of the equation by 10,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3p}{10}\" alt=\"\\frac{3p}{10}\" align=\"absmiddle\" \/> \u00d7 10 = 6 \u00d7 10<br \/>\n\u21d2\u00a03p = 60<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3p}{3}\" alt=\"\\frac{3p}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{60}{3}\" alt=\"\\frac{60}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 p = 20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Solve the following equations:<br \/>\n<\/strong><strong>(a) 10p = 100<br \/>\n(b) 10p + 10 = 100<br \/>\n(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{p}{4}}\" alt=\"\\mathbf{\\frac{p}{4}}\" align=\"absmiddle\" \/> = 5<br \/>\n<\/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{-p}{3}}\" alt=\"\\mathbf{\\frac{-p}{3}}\" align=\"absmiddle\" \/> = 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{3p}{4}}\" alt=\"\\mathbf{\\frac{3p}{4}}\" align=\"absmiddle\" \/> = 6<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f) 3s = \u2013 9<br \/>\n(g) 3s + 12 = 0<br \/>\n(h) 3s = 0<br \/>\n(i) 2q = 6<br \/>\n(j) 2q \u2013 6 = 0<br \/>\n(k) 2q + 6 = 0<br \/>\n(l) 2q + 6 = 12<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) 10p = 100<\/strong><br \/>\nWe have to divide both sides of the equation by 10,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10p}{10}\" alt=\"\\frac{10p}{10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{10}\" alt=\"\\frac{100}{10}\" align=\"absmiddle\" \/><br \/>\n\u21d2 p = 10<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 10p + 10 = 100<br \/>\n<\/strong>First we have to subtract 10 to the both sides of the equation,<br \/>\n\u21d2 10p + 10 \u2013 10 = 100 \u2013 10<br \/>\n\u21d2 10p = 90<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 10,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10p}{10}\" alt=\"\\frac{10p}{10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{90}{10}\" alt=\"\\frac{90}{10}\" align=\"absmiddle\" \/><br \/>\n\u21d2 p = 9<\/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{p}{4}}\" alt=\"\\mathbf{\\frac{p}{4}}\" align=\"absmiddle\" \/> = 5<br \/>\n<\/strong>We have to multiply both sides of the equation by 4,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{p}{4}\" alt=\"\\frac{p}{4}\" align=\"absmiddle\" \/>\u00a0\u00d7 4 = 5 \u00d7 4<br \/>\n\u21d2 p = 20<\/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{-p}{3}}\" alt=\"\\mathbf{\\frac{-p}{3}}\" align=\"absmiddle\" \/> = 5<br \/>\n<\/strong>We have to multiply both sides of the equation by \u2013 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-p}{3}\" alt=\"\\frac{-p}{3}\" align=\"absmiddle\" \/> \u00d7 (- 3) = 5 \u00d7 (- 3)<br \/>\n\u21d2 p = \u2013 15<\/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{3p}{4}}\" alt=\"\\mathbf{\\frac{3p}{4}}\" align=\"absmiddle\" \/> = 6<br \/>\n<\/strong>First we have to multiply both sides of the equation by 4,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3p}{4}\" alt=\"\\frac{3p}{4}\" align=\"absmiddle\" \/> \u00d7 4 = 6 \u00d7 4<br \/>\n\u21d2 3p = 24<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3p}{3}\" alt=\"\\frac{3p}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{24}{3}\" alt=\"\\frac{24}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 p = 8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f) 3s = \u2013 9<br \/>\n<\/strong>We have to divide both sides of the equation by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3s}{3}\" alt=\"\\frac{3s}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-9}{3}\" alt=\"\\frac{-9}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 s = -3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) 3s + 12 = 0<br \/>\n<\/strong>First we have to subtract 12 to the both sides of the equation,<br \/>\n\u21d2 3s + 12 \u2013 12 = 0 \u2013 12<br \/>\n\u21d2 3s = -12<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 3,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3s}{3}\" alt=\"\\frac{3s}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-12}{3}\" alt=\"\\frac{-12}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 s = \u2013 4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h) 3s = 0<br \/>\n<\/strong>We have to divide both sides of the equation by 3,<br \/>\nThen, we get,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3s}{3}\" alt=\"\\frac{3s}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{0}{3}\" alt=\"\\frac{0}{3}\" align=\"absmiddle\" \/><br \/>\n\u21d2 s = 0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) 2q = 6<br \/>\n<\/strong>We have to divide both sides of the equation by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2q}{2}\" alt=\"\\frac{2q}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{2}\" alt=\"\\frac{6}{2}\" align=\"absmiddle\" \/><br \/>\n\u21d2 q = 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(j) 2q \u2013 6 = 0<br \/>\n<\/strong>First we have to add 6 to the both sides of the equation,<br \/>\n\u21d2 2q \u2013 6 + 6 = 0 + 6<br \/>\n\u21d2\u00a02q = 6<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2q}{2}\" alt=\"\\frac{2q}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{2}\" alt=\"\\frac{6}{2}\" align=\"absmiddle\" \/><br \/>\n\u21d2 q = 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(k) 2q + 6 = 0<br \/>\n<\/strong>First we have to subtract 6 to the both sides of the equation,<br \/>\n\u21d2 2q + 6 \u2013 6 = 0 \u2013 6<br \/>\n\u21d2 2q = \u2013 6<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2q}{2}\" alt=\"\\frac{2q}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-6}{2}\" alt=\"\\frac{-6}{2}\" align=\"absmiddle\" \/><br \/>\n\u21d2 q = \u2013 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(l) 2q + 6 = 12<br \/>\n<\/strong>First we have to subtract 6 to the both sides of the equation,<br \/>\n\u21d2 2q + 6 \u2013 6 = 12 \u2013 6<br \/>\n\u21d2 2q = 6<br \/>\nNow,<br \/>\nWe have to divide both sides of the equation by 2,<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2q}{2}\" alt=\"\\frac{2q}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{2}\" alt=\"\\frac{6}{2}\" align=\"absmiddle\" \/><br \/>\n\u21d2 q = 3<\/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 4.2 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-1870","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) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 7 Maths Chapter 4 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