Solve for x
x=\frac{45}{9y+5}
y\neq -\frac{5}{9}
Solve for y
y=-\frac{5}{9}+\frac{5}{x}
x\neq 0
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xy+\frac{5}{9}x=5
Add \frac{5}{9}x to both sides.
\left(y+\frac{5}{9}\right)x=5
Combine all terms containing x.
\frac{\left(y+\frac{5}{9}\right)x}{y+\frac{5}{9}}=\frac{5}{y+\frac{5}{9}}
Divide both sides by y+\frac{5}{9}.
x=\frac{5}{y+\frac{5}{9}}
Dividing by y+\frac{5}{9} undoes the multiplication by y+\frac{5}{9}.
x=\frac{45}{9y+5}
Divide 5 by y+\frac{5}{9}.
xy=-\frac{5x}{9}+5
The equation is in standard form.
\frac{xy}{x}=\frac{-\frac{5x}{9}+5}{x}
Divide both sides by x.
y=\frac{-\frac{5x}{9}+5}{x}
Dividing by x undoes the multiplication by x.
y=-\frac{5}{9}+\frac{5}{x}
Divide -\frac{5x}{9}+5 by x.
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