Solve for x
x=-\frac{4y}{9}+\frac{2}{3}
Solve for y
y=-\frac{9x}{4}+\frac{3}{2}
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-9x=4y-6
The equation is in standard form.
\frac{-9x}{-9}=\frac{4y-6}{-9}
Divide both sides by -9.
x=\frac{4y-6}{-9}
Dividing by -9 undoes the multiplication by -9.
x=-\frac{4y}{9}+\frac{2}{3}
Divide 4y-6 by -9.
4y-6=-9x
Swap sides so that all variable terms are on the left hand side.
4y=-9x+6
Add 6 to both sides.
4y=6-9x
The equation is in standard form.
\frac{4y}{4}=\frac{6-9x}{4}
Divide both sides by 4.
y=\frac{6-9x}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{9x}{4}+\frac{3}{2}
Divide -9x+6 by 4.
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