Solve for x
x=\frac{10}{5y+2}
y\neq -\frac{2}{5}
Solve for y
y=-\frac{2}{5}+\frac{2}{x}
x\neq 0
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\left(2+5y\right)x=10
Combine all terms containing x.
\left(5y+2\right)x=10
The equation is in standard form.
\frac{\left(5y+2\right)x}{5y+2}=\frac{10}{5y+2}
Divide both sides by 2+5y.
x=\frac{10}{5y+2}
Dividing by 2+5y undoes the multiplication by 2+5y.
5xy=10-2x
Subtract 2x from both sides.
\frac{5xy}{5x}=\frac{10-2x}{5x}
Divide both sides by 5x.
y=\frac{10-2x}{5x}
Dividing by 5x undoes the multiplication by 5x.
y=-\frac{2}{5}+\frac{2}{x}
Divide 10-2x by 5x.
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