Solve for x
x=\frac{3y}{2}-10
Solve for y
y=\frac{2\left(x+10\right)}{3}
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-2x+3y=22-2
Subtract 2 from both sides.
-2x+3y=20
Subtract 2 from 22 to get 20.
-2x=20-3y
Subtract 3y from both sides.
\frac{-2x}{-2}=\frac{20-3y}{-2}
Divide both sides by -2.
x=\frac{20-3y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{3y}{2}-10
Divide 20-3y by -2.
-2x+3y=22-2
Subtract 2 from both sides.
-2x+3y=20
Subtract 2 from 22 to get 20.
3y=20+2x
Add 2x to both sides.
3y=2x+20
The equation is in standard form.
\frac{3y}{3}=\frac{2x+20}{3}
Divide both sides by 3.
y=\frac{2x+20}{3}
Dividing by 3 undoes the multiplication by 3.
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