Solve for x
x=\frac{6}{9y+4}
y\neq -\frac{4}{9}
Solve for y
y=-\frac{4}{9}+\frac{2}{3x}
x\neq 0
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\left(4+9y\right)x=6
Combine all terms containing x.
\left(9y+4\right)x=6
The equation is in standard form.
\frac{\left(9y+4\right)x}{9y+4}=\frac{6}{9y+4}
Divide both sides by 4+9y.
x=\frac{6}{9y+4}
Dividing by 4+9y undoes the multiplication by 4+9y.
9xy=6-4x
Subtract 4x from both sides.
\frac{9xy}{9x}=\frac{6-4x}{9x}
Divide both sides by 9x.
y=\frac{6-4x}{9x}
Dividing by 9x undoes the multiplication by 9x.
y=-\frac{4}{9}+\frac{2}{3x}
Divide 6-4x by 9x.
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