Solve for x
x=\frac{3y}{2}-\frac{7}{6}
Solve for y
y=\frac{2x}{3}+\frac{7}{9}
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9y-6x=7
Swap sides so that all variable terms are on the left hand side.
-6x=7-9y
Subtract 9y from both sides.
\frac{-6x}{-6}=\frac{7-9y}{-6}
Divide both sides by -6.
x=\frac{7-9y}{-6}
Dividing by -6 undoes the multiplication by -6.
x=\frac{3y}{2}-\frac{7}{6}
Divide 7-9y by -6.
9y-6x=7
Swap sides so that all variable terms are on the left hand side.
9y=7+6x
Add 6x to both sides.
9y=6x+7
The equation is in standard form.
\frac{9y}{9}=\frac{6x+7}{9}
Divide both sides by 9.
y=\frac{6x+7}{9}
Dividing by 9 undoes the multiplication by 9.
y=\frac{2x}{3}+\frac{7}{9}
Divide 7+6x by 9.
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