Solve for x
x=-\frac{3}{5}+\frac{2}{5y}
y\neq 0
Solve for y
y=\frac{2}{5x+3}
x\neq -\frac{3}{5}
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5xy=2-3y
Subtract 3y from both sides.
5yx=2-3y
The equation is in standard form.
\frac{5yx}{5y}=\frac{2-3y}{5y}
Divide both sides by 5y.
x=\frac{2-3y}{5y}
Dividing by 5y undoes the multiplication by 5y.
x=-\frac{3}{5}+\frac{2}{5y}
Divide 2-3y by 5y.
\left(5x+3\right)y=2
Combine all terms containing y.
\frac{\left(5x+3\right)y}{5x+3}=\frac{2}{5x+3}
Divide both sides by 5x+3.
y=\frac{2}{5x+3}
Dividing by 5x+3 undoes the multiplication by 5x+3.
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