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