Solve for x
x=-\frac{y}{3}+3
Solve for y
y=9-3x
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-3x=-3+y-6
Subtract 6 from both sides.
-3x=-9+y
Subtract 6 from -3 to get -9.
-3x=y-9
The equation is in standard form.
\frac{-3x}{-3}=\frac{y-9}{-3}
Divide both sides by -3.
x=\frac{y-9}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-\frac{y}{3}+3
Divide -9+y by -3.
-3+y=6-3x
Swap sides so that all variable terms are on the left hand side.
y=6-3x+3
Add 3 to both sides.
y=9-3x
Add 6 and 3 to get 9.
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