If 29x + 37y = 103 and 37x + 29y = 95 then (a) x = 1, y = 2 (b) x =

1.	If 29x + 37y = 103 and 37x + 29y = 95 then (a) x = 1, y = 2 (b) x = 2, y = 1 (c) x = 3, y = 2 (d) x = 2, y = 3
Answer» Correct answer = (a) x = 1, y = 2 The given system of equations is 29x + 37y = 103 ……..(i) 37x + 29y = 95 ……..(ii) Adding (i) and (ii), we get 66x + 66y = 198 ⇒ x + y = 3 ………(iii) Subtracting (i) from (ii), we get 8x – 8y = –8 ⇒ x – y = –1 Adding (iii) and (iv), we get 2x = 2 ⇒ x = 1 Substituting x = 1 in (iii), we have 1 + y = 3 ⇒ y = 2 Thus, x = 1 and y = 2.

If 29x + 37y = 103 and 37x + 29y = 95 then (a) x = 1, y = 2 (b) x = 2, y = 1 (c) x = 3, y = 2 (d) x = 2, y = 3

Answer»

Correct answer = (a) x = 1, y = 2

The given system of equations is

29x + 37y = 103 ……..(i)

37x + 29y = 95 ……..(ii)

Adding (i) and (ii), we get

66x + 66y = 198

⇒ x + y = 3 ………(iii)

Subtracting (i) from (ii), we get

8x – 8y = –8

⇒ x – y = –1

Adding (iii) and (iv), we get

2x = 2 ⇒ x = 1

Substituting x = 1 in (iii), we have

1 + y = 3 ⇒ y = 2

Thus, x = 1 and y = 2.