Substitute y in 8x - 3y = -22.
8x - 3(5x + 19) = -22
Simplify.
8x - 15x - 57 = -22
Simplify.
-7x - 57 = -22
Add 57 to both sides.
-7x = 35
Divide both sides by -7.
x = -5
Substitute x in y = 5x + 19.
y = 5(-5) + 19
y = -25 + 19
y = -6
The solution is (-5, -6).