{"id":44261,"date":"2022-05-30T22:30:36","date_gmt":"2022-05-30T17:00:36","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=44261"},"modified":"2023-01-25T11:36:51","modified_gmt":"2023-01-25T06:06:51","slug":"ml-aggarwal-class-8-solutions-for-icse-maths-chapter-12-ex-12-1","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-12-ex-12-1\/","title":{"rendered":"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1"},"content":{"rendered":"<h2>ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1<\/h2>\n<p><strong>Solve the following equations (1 to 12):<\/strong><br \/>\nQuestion 1.<br \/>\n(i) 5x &#8211; 3 = 3x &#8211; 5<br \/>\n(ii) 3x &#8211; 7 = 3(5 &#8211; x)<br \/>\nSolution:<br \/>\n(i) 5x &#8211; 3 = 3x &#8211; 5<br \/>\n\u21d2 5x &#8211; 3x = -5 + 3<br \/>\n\u21d2 2x = \u2014 2<br \/>\n\u21d2 x = \\(\\frac{-2}{2}\\) = -1<\/p>\n<p>(ii) 3x &#8211; 7 = 3(5 &#8211; x)<br \/>\n\u21d2 3x &#8211; 7 = 15 &#8211; 3x<br \/>\n\u21d2 3x + 3x = 15 + 7<br \/>\n\u21d2 6x = 22<br \/>\n\u21d2 x = \\(\\frac{22}{6}=\\frac{11}{3}\\)<\/p>\n<p>Question 2.<br \/>\n(i) 4(2x + 1) = 3(x &#8211; 1) + 7<br \/>\n(ii) 3(2p &#8211; 1) = 5 &#8211; (3p &#8211; 2)<br \/>\nSolution:<br \/>\n(i) 4(2x + 1) = 3(x &#8211; 1) + 7<br \/>\n\u21d2 8x + 4 = 3x &#8211; 3 + 7<br \/>\n\u21d2 8x + 4 = 3x + 4<br \/>\n\u21d2 8x &#8211; 3x = 0<br \/>\n\u21d2 x = 0<\/p>\n<p>(ii) 3(2p &#8211; 1) = 5 &#8211; (3p &#8211; 2)<br \/>\n\u21d2 6p &#8211; 3 = 5 &#8211; 3p + 2<br \/>\n\u21d2 6p + 3p = 5 + 3 + 2<br \/>\n\u21d2 9p = 10<br \/>\n\u21d2 p = \\(\\frac{10}{9}=1 \\frac{1}{9}\\)<\/p>\n<p>Question 3.<br \/>\n(i) 5y &#8211; 2[y &#8211; 3(y &#8211; 5)] = 6<br \/>\n(ii) 0.3(6 &#8211; x) = 0.4(x + 8)<br \/>\nSolution:<br \/>\n(i) 5y &#8211; 2[y &#8211; 3(y &#8211; 5)] = 6<br \/>\n\u21d2 5y &#8211; 2[y &#8211; 3y + 15] = 6<br \/>\n\u21d2 5y &#8211; 2[-2y + 15] = 6<br \/>\n\u21d2 5y + 4y &#8211; 30 = 6<br \/>\n\u21d2 9y = 6 + 30<br \/>\n\u21d2 9y = 36<br \/>\n\u21d2 y = \\(\\frac{36}{9}\\)<br \/>\n\u21d2 y = 4<\/p>\n<p>(ii) 0.3 (6 &#8211; x) = 0.4 (x + 8)<br \/>\n\u21d2 1.8 &#8211; 0.3x = 0.4x + 3.2<br \/>\n\u21d2 0.3x &#8211; 0.4x = 3.2 &#8211; 1.8<br \/>\n\u21d2 -0.7x = 1.4<br \/>\n\u21d2 x = \\(\\frac{-1 \\cdot 4}{0 \\cdot 7}\\)<br \/>\n\u21d2 x = \\(\\frac{-14}{7}\\)<br \/>\n\u21d2 x = -2<\/p>\n<p>Question 4.<br \/>\n(i) \\(\\frac{x-1}{3}=\\frac{x+2}{6}+3\\)<br \/>\n(ii) \\(\\frac{x+7}{3}=1+\\frac{3 x-2}{5}\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83574\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q4.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q4.1\" width=\"204\" height=\"287\" \/><br \/>\n\u21d2 x &#8211; 4 = 6 \u00d7 3<br \/>\n\u21d2 x &#8211; 4 = 18<br \/>\n\u21d2 x = 18 + 4<br \/>\n\u21d2 x = 22<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-83575\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q4.2.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q4.2\" width=\"231\" height=\"288\" \/><br \/>\n\u21d2 -4x + 41 = 15<br \/>\n\u21d2 -4x = 15 &#8211; 41<br \/>\n\u21d2 -4x = -26<br \/>\n\u21d2 x = \\(\\frac{-26}{-4}\\)<br \/>\n\u21d2 x = \\(\\frac{13}{2}\\)<br \/>\n\u21d2 x = \\(6 \\frac{1}{2}\\)<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83576\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q5.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q5.1\" width=\"227\" height=\"105\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83577\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q5.2.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q5.2\" width=\"281\" height=\"220\" \/><br \/>\n\u21d2 3 (-y + 5) = 6 (1 + 2y)<br \/>\n\u21d2 -3y +15 = 6+ 12y<br \/>\n\u21d2 -3y &#8211; 12y = 6 &#8211; 15<br \/>\n\u21d2 -15y = -9<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83578\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q5.3.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q5.3\" width=\"253\" height=\"392\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q5.3.png 253w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q5.3-194x300.png 194w\" sizes=\"(max-width: 253px) 100vw, 253px\" \/><br \/>\n\u21d2 47p + 480 = 55 \u00d7 60<br \/>\n\u21d2 47p + 480 = 3300<br \/>\n\u21d2 47p = 3300 &#8211; 480<br \/>\n\u21d2 47p = 2820<br \/>\n\u21d2 p = \\(\\frac{2820}{47}\\)<br \/>\n\u21d2 p = 60<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83579\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q6.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q6.1\" width=\"216\" height=\"115\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83580\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q6.2.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q6.2\" width=\"212\" height=\"114\" \/><br \/>\n\u21d2 3 (n + 1) = 2(5 &#8211; n)<br \/>\n\u21d2 3n + 3 = 10 &#8211; 2n<br \/>\n\u21d2 3n + 2n = 10 &#8211; 3<br \/>\n\u21d2 5n = 7 \u21d2 n = \\(\\frac{7}{5}=1 \\frac{2}{5}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83581\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q6.3.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q6.3\" width=\"250\" height=\"114\" \/><br \/>\n\u21d2 (6t &#8211; 4) + (6t + 9) = 6t + 7<br \/>\n\u21d2 12t + 5 = 6t + 7<br \/>\n\u21d2 12t &#8211; 6t = 7 &#8211; 5<br \/>\n\u21d2 6t = 2 \u21d2 t = \\(\\frac{2}{6}=\\frac{1}{3}\\)<\/p>\n<p>Question 7.<br \/>\n(i) 4(3x + 2) &#8211; 5(6x &#8211; 1) = 2(x &#8211; 8) &#8211; 6(7x &#8211; 4)<br \/>\n(ii) 3(5x + 7) + 5(2x &#8211; 11) = 3(8x &#8211; 5) &#8211; 15<br \/>\nSolution:<br \/>\n(i) 4(3x + 2) &#8211; 5(6x &#8211; 1) = 2(x &#8211; 8) &#8211; 6(7x &#8211; 4)<br \/>\n\u21d2 12x + 8 &#8211; 30x + 5 = 2x &#8211; 16 &#8211; 42x + 24<br \/>\n\u21d2 -18x + 13 = -40x + 8<br \/>\n\u21d2 -18x + 40x = 8 &#8211; 13<br \/>\n\u21d2 22x = -5 \u21d2 x = \\(\\frac{-5}{22}\\)<\/p>\n<p>(ii) 3(5x + 7) + 5(2x &#8211; 11) = 3(8x &#8211; 5) &#8211; 15<br \/>\n\u21d2 15x + 21 + 10x &#8211; 55 = 24x &#8211; 15 &#8211; 15<br \/>\n\u21d2 25x &#8211; 34 = 24x &#8211; 30<br \/>\n\u21d2 25x &#8211; 24x = -30 + 34<br \/>\n\u21d2 x = 4<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83582\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q8.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q8.1\" width=\"171\" height=\"114\" \/><br \/>\nSolution:<br \/>\n(i) \\(\\frac{3-2 x}{2 x+5}=-\\frac{3}{11}\\)<br \/>\n\u21d2 11(3 &#8211; 2x) = -3(2x + 5)<br \/>\n\u21d2 33 &#8211; 22x = -6x &#8211; 15<br \/>\n\u21d2 -22x + 6x = -15 &#8211; 33<br \/>\n\u21d2 -16x = -48<br \/>\n\u21d2 x = \\(\\frac{48}{16}\\) = 3<\/p>\n<p>(ii) \\(\\frac{5 p+2}{8-2 p}=\\frac{7}{6}\\)<br \/>\n\u21d2 6(5p + 2) = 7(8 &#8211; 2)p<br \/>\n\u21d2 30p + 12 = 56 &#8211; 14p<br \/>\n\u21d2 30p +14p = 56 &#8211; 12<br \/>\n\u21d2 44p = 44<br \/>\n\u21d2 p =\\(\\frac{44}{44}\\) = 1<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83583\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q9.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q9.1\" width=\"156\" height=\"113\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83584\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q9.2.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q9.2\" width=\"106\" height=\"50\" \/><br \/>\n5 (x &#8211; 4) = 7x<br \/>\n\u21d2 5x &#8211; 20 = 7x<br \/>\n\u21d2 5x &#8211; 7x = 20<br \/>\n\u21d2 -2x = 20<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83585\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q9.3.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q9.3\" width=\"156\" height=\"195\" \/><br \/>\n\u21d2 4(x + 4) = 5(2x + 3)<br \/>\n\u21d2 4x + 16 = 10x + 15<br \/>\n\u21d2 -6x = -1<br \/>\n\u21d2 x = \\(\\frac{-1}{-6}=\\frac{1}{6}\\)<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83586\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q10.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q10.1\" width=\"215\" height=\"111\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83587\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q10.2.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q10.2\" width=\"256\" height=\"283\" \/><br \/>\n\u21d2 2x<sup>2<\/sup> &#8211; 7x &#8211; 5 = x (2x &#8211; 2)<br \/>\n\u21d2 2x<sup>2<\/sup> &#8211; 7x &#8211; 5 = 2x<sup>2<\/sup> &#8211; 2x<br \/>\n\u21d2 -7x &#8211; 5 = -2x<br \/>\n\u21d2 -7x + 2x = 5<br \/>\n\u21d2 -5x = 5<br \/>\n\u21d2 x = \\(\\frac{5}{-5}\\)<br \/>\n\u21d2 x = \\(\\frac{-5}{5}\\)<br \/>\n\u21d2 x = -1<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83588\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q10.3.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q10.3\" width=\"247\" height=\"244\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q10.3.png 247w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q10.3-100x100.png 100w\" sizes=\"(max-width: 247px) 100vw, 247px\" \/><br \/>\n\u21d2 3x(1 &#8211; 15x) = 15x (3x &#8211; 1)<br \/>\n\u21d2 3(1 &#8211; 15x) = 15 (3x &#8211; 1)<br \/>\n\u21d2 3 &#8211; 45x = 45x &#8211; 15<br \/>\n\u21d2 -45x &#8211; 45x = -15 &#8211; 3<br \/>\n\u21d2 -90x = -18<br \/>\n\u21d2 x = \\(\\frac{-18}{-90} \\Rightarrow x=\\frac{1}{5}\\)<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83589\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q11.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q11.1\" width=\"178\" height=\"116\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83590\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q11.2.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q11.2\" width=\"151\" height=\"53\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q11.2.png 151w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q11.2-150x53.png 150w\" sizes=\"(max-width: 151px) 100vw, 151px\" \/><br \/>\n\u21d2 (2x &#8211; 3)(3x + 1) = (3x &#8211; 1) (2x &#8211; 1)<br \/>\n\u21d2 6x<sup>2<\/sup> + 2x &#8211; 9x &#8211; 3 = 6x<sup>2<\/sup> &#8211; 3x &#8211; 2x + 1<br \/>\n\u21d2 6x<sup>2<\/sup> &#8211; 7x &#8211; 3 = 6x<sup>2<\/sup> &#8211; 5x + 1<br \/>\n\u21d2 6x<sup>2<\/sup> &#8211; 7x &#8211; 6x<sup>2<\/sup> + 5x = 1 + 3<br \/>\n\u21d2 -2x = 4 \u21d2 x = \\(\\frac{4}{-2}\\) = -2<\/p>\n<p>(ii) \\(\\frac{2 y+3}{3 y+2}=\\frac{4 y+5}{6 y+7}\\)<br \/>\n\u21d2 (2y + 3) (6y + 7) = (4y + 5) (3y + 2)<br \/>\n\u21d2 12y<sup>2<\/sup> + 14y + 18y + 21 = 12y<sup>2<\/sup> + 8y + 15y + 10<br \/>\n\u21d2 32y + 21 = 23y + 10<br \/>\n\u21d2 32y &#8211; 23y = 10 &#8211; 21<br \/>\n\u21d2 9y = -11 \u21d2 y = \\(\\frac{-11}{9}\\)<\/p>\n<p>Question 12.<br \/>\nIf x = p + 1, find the value of p from the equation \\(\\frac{1}{2}\\) (5x &#8211; 30) &#8211; \\(\\frac{1}{3}\\) (1 + 7p) = \\(\\frac{1}{4}\\)<br \/>\nSolution:<br \/>\nGiven x =p + 1 &#8230;(i)<br \/>\nAlso \\(\\frac{1}{2}\\)(5x &#8211; 30) &#8211; \\(\\frac{1}{3}\\)(1 + 7p) = \\(\\frac{1}{4}\\) &#8230;(ii)<br \/>\nPutting the value of x from (i) in (ii), we get,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83591\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q12.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q12.1\" width=\"297\" height=\"406\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q12.1.png 297w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q12.1-219x300.png 219w\" sizes=\"(max-width: 297px) 100vw, 297px\" \/><br \/>\n\u21d2 4 \u00d7 (p &#8211; 77) = 1 \u00d7 6<br \/>\n\u21d2 4p &#8211; 308 = 6<br \/>\n\u21d2 4p = 6 + 308<br \/>\n\u21d2 4p = 314<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83592\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q12.2.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q12.2\" width=\"112\" height=\"165\" \/><\/p>\n<p>Question 13.<br \/>\nSolve \\(\\frac{x+3}{3}-\\frac{x-2}{2}=1\\), Hence find p if \\(\\frac{1}{x}+p\\) = 1.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-83593\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q13.1.png\" alt=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Q13.1\" width=\"214\" height=\"431\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q13.1.png 214w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-12-Linear-Equations-and-Inequalities-in-one-Variable-Ex-12.1-Q13.1-149x300.png 149w\" sizes=\"(max-width: 214px) 100vw, 214px\" \/><\/p>\n<h4><a href=\"https:\/\/cbselibrary.com\/ml-aggarwal-icse-solutions-for-class-8-maths\/\">ML Aggarwal Class 8 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Solve the following equations (1 to 12): Question 1. (i) 5x &#8211; 3 = 3x &#8211; 5 (ii) 3x &#8211; 7 = 3(5 &#8211; x) Solution: (i) 5x &#8211; 3 = 3x &#8211; 5 \u21d2 5x &#8230; <a title=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-12-ex-12-1\/\" aria-label=\"More on ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-12-ex-12-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1\" \/>\n<meta property=\"og:description\" content=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 12 Linear Equations and Inequalities in one Variable Ex 12.1 Solve the following equations (1 to 12): Question 1. 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(i) 5x &#8211; 3 = 3x &#8211; 5 (ii) 3x &#8211; 7 = 3(5 &#8211; x) Solution: (i) 5x &#8211; 3 = 3x &#8211; 5 \u21d2 5x ... 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