solve using Cramer's rule

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

D =

|3 2|
|2 3| = 5

Dx =
|-3 2|
|8 3| = -25

Dy =
|3 -3|
|2 8| = 30

x = Dx/D = -26/5 = -5
y = Dy/D = 30/5 = 6