This is two lines in slope intercept form and we want their intersection. We just set the ys equal.
-3x - 3 = (-1/2)x + 2
Multiply both sides by 2 to clear the fractions,
-6x - 6 = -x + 4
-10 = 5x
x = -10/5 = -2
y = -3x - 3 = -3 (-2) - 3 = 6 - 3 = 3
Check:
y = (-1/2)x + 2 = (-1/2)(-2) + 2 = 1 + 2 = 3, good
Answer: x=-2, y=3
