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