Let's try doing substitution.
Since y equals both -3/2x+3 and -x+6, let's set them equal to each other.
Set the equations equal to each other.
-3/2 x+3=-x+6
Add 3/2 x to both sides.
3=1/2x+6
Subtract 6 from both sides.
1/2x=-3
Multiply by 2 on both sides.
x=-6
Check your answer:
-3/2(-6)+3=-(-6)+6
9+3=6+6
12=12 The answer is correct!
