Question

If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y ?

Answer 1

10

Explanation:

2x - 3y = 24 ------ (1)

3x + 4y = 2 ------ (2)

(1) × 4,

8x - 12y = 96 ------ (3)

(2) × 3,

9x + 12y = 6 ------ (4)

(3) + (4)

17x = 96 + 6

= 102

x = 102 ÷ 17

= 6

Sub x = 6 into (2),

3(6) + 4y = 2

18 + 4y = 2

4y = 2 - 18

= -16

y = -16 ÷ 4

= -4

Therefore,

x - y = 6 - (-4)

= 6 + 4

= 10

i hope this helps you !!