{"id":2883,"date":"2022-12-01T07:56:43","date_gmt":"2022-12-01T07:56:43","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2883"},"modified":"2023-01-31T06:47:45","modified_gmt":"2023-01-31T06:47:45","slug":"ncert-solutions-class-8-maths-chapter-2-linear-equations-in-one-variable-ex-2-6","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-2-linear-equations-in-one-variable-ex-2-6\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.6"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 2 (Linear Equations in One Variable)\u00a0<\/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 8 Mathematics <strong>Chapter &#8211; 2 Linear Equations in One Variable <\/strong>Exercise 2.6 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 2: Linear Equations in One Variable<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-2-linear-equations-in-one-variable-ex-2-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 2.1<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-2-linear-equations-in-one-variable-ex-2-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 2.2<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-2-linear-equations-in-one-variable-ex-2-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 2.3<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-2-linear-equations-in-one-variable-ex-2-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 2.4<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-2-linear-equations-in-one-variable-ex-2-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 2.5<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 2.6\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solve the following equations.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{8x-3}{3x}}\" alt=\"\\mathbf{\\frac{8x-3}{3x}}\" align=\"absmiddle\" \/> = 2<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8x-3}{3x}\" alt=\"\\frac{8x-3}{3x}\" align=\"absmiddle\" \/> = 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 8x \u2013 3 = 2 \u00d7 3x<br \/>\n\u21d2 8x \u2013 3 = 6x<br \/>\n\u21d2 8x \u2013 6x = 3<br \/>\n\u21d2 2x = 3<br \/>\n\u21d2 x = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{9x}{7-6x}}\" alt=\"\\mathbf{\\frac{9x}{7-6x}}\" align=\"absmiddle\" \/> = 15<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9x}{7-6x}\" alt=\"\\frac{9x}{7-6x}\" align=\"absmiddle\" \/> = 15<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 9x = 15 (7 \u2013 6x)<br \/>\n\u21d2 9x = 105 \u2013 90x<br \/>\n\u21d2 9x + 90x = 105<br \/>\n\u21d2 99x = 105<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 x = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{105}{99}&amp;space;=&amp;space;\\frac{35}{33}\" alt=\"\\frac{105}{99} = \\frac{35}{33}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{z}{z+15}}\" alt=\"\\mathbf{\\frac{z}{z+15}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{9}}\" alt=\"\\mathbf{\\frac{4}{9}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{z}{z+15}\" alt=\"\\frac{z}{z+15}\" align=\"absmiddle\" \/>\u00a0 = <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;\">\u21d2 z \u00d7 9 = 4 (z + 15)<br \/>\n\u21d2 9z = 4z + 60<br \/>\n\u21d2 9z \u2013 4z = 60<br \/>\n\u21d2 5z = 60<br \/>\n\u21d2 z = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3y+4}{2-6y}&amp;space;=&amp;space;-\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{3y+4}{2-6y} = -\\frac{2}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3y+4}{2-6y}&amp;space;=&amp;space;-\\frac{2}{5}\" alt=\"\\frac{3y+4}{2-6y} = -\\frac{2}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 5(3y + 4) = -2(2 \u2013 6y)<br \/>\n\u21d2 15y + 20 = -4 + 12y<br \/>\n\u21d2 15y \u2013 12y = -4 \u2013 20<br \/>\n\u21d2 3y = -24<br \/>\n\u21d2 y = -8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7y+4}{y+2}&amp;space;=&amp;space;-\\frac{4}{3}}\" alt=\"\\mathbf{\\frac{7y+4}{y+2} = -\\frac{4}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7y+4}{y+2}&amp;space;=&amp;space;-\\frac{4}{3}\" alt=\"\\frac{7y+4}{y+2} = -\\frac{4}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 3(7y + 4) = -4(y + 2)<br \/>\n\u21d2 21y + 12 = -4y \u2013 8<br \/>\n\u21d2 21y + 4y = -8 \u2013 12<br \/>\n\u21d2 25y = -20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 y = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?-\\frac{20}{25}&amp;space;=&amp;space;-\\frac{4}{5}\" alt=\"-\\frac{20}{25} = -\\frac{4}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. The ages of Hari and Harry are in the ratio of 5 : 7. Four years from now, the ratio of their ages will be 3 : 4. Find their present ages.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>Let the present ages of Hari = 5x<br \/>\nLet the present ages of Harry = 7x.<br \/>\n4 years later,<br \/>\nAge of Hari = 5x + 4<br \/>\nAge of Harry = 7x + 4<br \/>\nAccording to the question,<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5x+4}{7x+4}&amp;space;=&amp;space;\\frac{3}{4}\" alt=\"\\frac{5x+4}{7x+4} = \\frac{3}{4}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 4(5x + 4) = 3(7x + 4)<br \/>\n\u21d2 20x + 16 = 21x + 12<br \/>\n\u21d2 21x \u2013 20x = 16 \u2013 12<br \/>\n\u21d2 x = 4<br \/>\nHari\u2019s age = 5x = 5 \u00d7 4 = 20 years<br \/>\nHarry\u2019s age = 7x = 7 \u00d7 4 = 28 years<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7. The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{2}}\" alt=\"\\mathbf{\\frac{3}{2}}\" align=\"absmiddle\" \/>. Find the rational number.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>Let the numerator be x,<br \/>\nthe denominator will be (x + 8)<br \/>\nAccording to the question,<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{x+17}{x+8-1}&amp;space;=&amp;space;\\frac{3}{2}\" alt=\"\\frac{x+17}{x+8-1} = \\frac{3}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{x+17}{x+7}&amp;space;=&amp;space;\\frac{3}{2}\" alt=\"\\frac{x+17}{x+7} = \\frac{3}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 2(x + 17) = 3(x + 7)<br \/>\n\u21d2 2x + 34 = 3x + 21<br \/>\n\u21d2 34 \u2013 21 = 3x \u2013 2x<br \/>\n\u21d2 x = 13<br \/>\nThe rational number is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{x}{x+8}&amp;space;=&amp;space;\\frac{13}{21}\" alt=\"\\frac{x}{x+8} = \\frac{13}{21}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 2 (Linear Equations in One Variable)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 2 Linear Equations in One Variable Exercise 2.6 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 2: Linear Equations in One Variable [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[446,447,445,5],"class_list":["post-2883","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-2-linear-equations-in-one-variable-in-english","tag-ncert-solutions-class-8-maths-chapter-2-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.6 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 2 (Linear Equations in One Variable)\u00a0The NCERT Solutions in 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