Solve for x
x=\frac{y-2}{3}
Solve for y
y=3x+2
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9x-3y=-6
Swap sides so that all variable terms are on the left hand side.
9x=-6+3y
Add 3y to both sides.
9x=3y-6
The equation is in standard form.
\frac{9x}{9}=\frac{3y-6}{9}
Divide both sides by 9.
x=\frac{3y-6}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{y-2}{3}
Divide -6+3y by 9.
9x-3y=-6
Swap sides so that all variable terms are on the left hand side.
-3y=-6-9x
Subtract 9x from both sides.
-3y=-9x-6
The equation is in standard form.
\frac{-3y}{-3}=\frac{-9x-6}{-3}
Divide both sides by -3.
y=\frac{-9x-6}{-3}
Dividing by -3 undoes the multiplication by -3.
y=3x+2
Divide -6-9x by -3.
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