3x - 2y = -5 .....multiply by 2
-6x + 7y = 22
------------------
6x - 4y = -10 (result of multiplying by 2)
-6x + 7y = 22
-----------------add
3y = 12
y = 12/3
y = 4
3x - 2y = -5
3x - 2(4) = -5
3x - 8 = -5
3x = -5 + 8
3x = 3
x = 3/3
x = 1
solution is (1,4)