-3x+5y = 22 multiply through by 4 → -12x + 20y = 88 (1)
12x-10y = -8 (2)
Add (1) to (2) and we have
10y = 80 divide by 10
y = 8
Sub this into -3x + 5y = 22 to find x
-3x + 5(8) = 22
-3x + 40 = 22 subtract 40 from both sides
-3x = - 18 divide both sides by -3
x = 6