Solve for x
x=\frac{3y}{2}-14
Solve for y
y=\frac{2\left(x+14\right)}{3}
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-2x+3y=28
Subtract 9 from 37 to get 28.
-2x=28-3y
Subtract 3y from both sides.
\frac{-2x}{-2}=\frac{28-3y}{-2}
Divide both sides by -2.
x=\frac{28-3y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{3y}{2}-14
Divide 28-3y by -2.
-2x+3y=28
Subtract 9 from 37 to get 28.
3y=28+2x
Add 2x to both sides.
3y=2x+28
The equation is in standard form.
\frac{3y}{3}=\frac{2x+28}{3}
Divide both sides by 3.
y=\frac{2x+28}{3}
Dividing by 3 undoes the multiplication by 3.
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