Question

5x+2y=2 2x+3y=-8

Answer 1

5x+2y=2 --- times 3 --- 15x + 6x = 6

2x+3y=-8 -- times 2 --- 4x + 6x = -16
subtract them:
11x = 22
x = 2

sub x = 2 into 2x + 3y = -8 to find the y