Write two solutions of the form x = 0, y = a and x = b, y = 0 for each

1.	Write two solutions of the form x = 0, y = a and x = b, y = 0 for each of the following equations :(i) 5x – 2y = 10 (ii) -4x + 3y = 12(iii) 2x + 3y = 24
Answer» (i) Given: 5x – 2y = 10 Substituting x = 0 ⇒ 5 × 0 – 2y = 10 ⇒ – 2y = 10 ⇒ – y = 10/2 ⇒ y = – 5 Thus x =0 and y = -5 is the solution of 5x - 2y = 10 Substituting y = 0 ⇒ 5x – 2 x 0 = 10 ⇒ 5x = 10 ⇒ x = 2 Thus x =2 and y = 0 is a solution of 5x – 2y = 10 (ii) Given, – 4x + 3y = 12 Substituting x = 0 ⇒ -4 × 0 + 3y = 12 ⇒ 3y = 12 ⇒ y = 4 Thus x = 0 and y = 4 is a solution of the -4x + 3y = 12 Substituting y = 0 ⇒ -4 x + 3 x 0 = 12 ⇒ – 4x = 12 ⇒ x = -3 Thus x = -3 and y = 0 is a solution of -4x + 3y = 12 (iii) Given, 2x + 3y = 24 Substituting x = 0 ⇒ 2 x 0 + 3y = 24 ⇒ 3y =24 ⇒ y = 8 Thus x = 0 and y = 8 is a solution of 2x+ 3y = 24 Substituting y = 0 ⇒ 2x + 3 x 0 = 24 ⇒ 2x = 24 ⇒ x =12 Thus x = 12 and y = 0 is a solution of 2x + 3y = 24

Write two solutions of the form x = 0, y = a and x = b, y = 0 for each of the following equations :(i) 5x – 2y = 10 (ii) -4x + 3y = 12(iii) 2x + 3y = 24

Answer»

(i) Given: 5x – 2y = 10

Substituting x = 0 ⇒ 5 × 0 – 2y = 10 ⇒ – 2y = 10 ⇒ – y = 10/2 ⇒ y = – 5

Thus x =0 and y = -5 is the solution of 5x - 2y = 10

Substituting y = 0 ⇒ 5x – 2 x 0 = 10 ⇒ 5x = 10 ⇒ x = 2

Thus x =2 and y = 0 is a solution of 5x – 2y = 10

(ii) Given, – 4x + 3y = 12

Substituting x = 0 ⇒ -4 × 0 + 3y = 12 ⇒ 3y = 12 ⇒ y = 4

Thus x = 0 and y = 4 is a solution of the -4x + 3y = 12

Substituting y = 0 ⇒ -4 x + 3 x 0 = 12 ⇒ – 4x = 12 ⇒ x = -3

Thus x = -3 and y = 0 is a solution of -4x + 3y = 12

(iii) Given, 2x + 3y = 24

Substituting x = 0 ⇒ 2 x 0 + 3y = 24 ⇒ 3y =24 ⇒ y = 8

Thus x = 0 and y = 8 is a solution of 2x+ 3y = 24

Substituting y = 0 ⇒ 2x + 3 x 0 = 24 ⇒ 2x = 24 ⇒ x =12

Thus x = 12 and y = 0 is a solution of 2x + 3y = 24