Question

If 29x + 37y = 103 and 37x + 29y = 95 then

Options

• x = 1, y = 2

• x = 2, y = 1

• x = 3, y = 2

• x = 2, y = 3

Answer 1

x = 1, y = 2

Explanation:

Subtract the first equation from the second:

(37x + 29y) – (29x + 37y) = 95 – 103 

⇒ 8x – 8y = –8 

⇒ x – y = –1 

⇒ y = x + 1

Substitute into 29x + 37y = 103: 

29x + 37(x + 1) = 103 

⇒ 66x = 66

⇒ x = 1, so y = 2.