3x + 2y = 8 multiply through by 2 → 6x + 4y = 16 (1)
2x + 5y = -2 multiply through by -3 → -6x - 15y = 6 (2)
Add (1) and (2) and we get
-11y = 22 divide both sides by (-11) and y = - 22/11 = -2
Sub this into 3x + 2y = 8 to find x
3x + 2(-2) = 8
3x - 4 = 8 add 4 to both sides
3x = 12 divide both sides by 3
x = 4