Solve for x
x=\frac{3y}{2}+2
Solve for y
y=\frac{2\left(x-2\right)}{3}
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6x=9y+12
The equation is in standard form.
\frac{6x}{6}=\frac{9y+12}{6}
Divide both sides by 6.
x=\frac{9y+12}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{3y}{2}+2
Divide 12+9y by 6.
12+9y=6x
Swap sides so that all variable terms are on the left hand side.
9y=6x-12
Subtract 12 from both sides.
\frac{9y}{9}=\frac{6x-12}{9}
Divide both sides by 9.
y=\frac{6x-12}{9}
Dividing by 9 undoes the multiplication by 9.
y=\frac{2x-4}{3}
Divide -12+6x by 9.
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