Solve for x
x=\frac{2\left(y+54\right)}{9}
Solve for y
y=\frac{9\left(x-12\right)}{2}
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9x-2y=108
Multiply both sides of the equation by 18, the least common multiple of 2,9.
9x=108+2y
Add 2y to both sides.
9x=2y+108
The equation is in standard form.
\frac{9x}{9}=\frac{2y+108}{9}
Divide both sides by 9.
x=\frac{2y+108}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{2y}{9}+12
Divide 108+2y by 9.
9x-2y=108
Multiply both sides of the equation by 18, the least common multiple of 2,9.
-2y=108-9x
Subtract 9x from both sides.
\frac{-2y}{-2}=\frac{108-9x}{-2}
Divide both sides by -2.
y=\frac{108-9x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{9x}{2}-54
Divide 108-9x by -2.
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