Question

2x - 5y = 2
3x + 2y = -16

Answer 1

(-4,-2)

Explanation:

Isolate x:

2x - 5y = 2

2x = 5y + 2

x = 5/2y + 1

Substitute and solve for y:

3(5/2y + 1) + 2y = -16

15/2y + 3 + 2y = -16

7.5y + 2y = -16 - 3

9.5y = -19

y = -2

Substitute and solve for x:

2x - 5y = 2

2x - 5(-2) = 2

2x + 10 = 2

2x = -8

x = -4