Solve for x
x=\frac{1}{y+1}
y\neq -1
Solve for y
y=-1+\frac{1}{x}
x\neq 0
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\left(1+y\right)x=1
Combine all terms containing x.
\left(y+1\right)x=1
The equation is in standard form.
\frac{\left(y+1\right)x}{y+1}=\frac{1}{y+1}
Divide both sides by 1+y.
x=\frac{1}{y+1}
Dividing by 1+y undoes the multiplication by 1+y.
xy=1-x
Subtract x from both sides.
\frac{xy}{x}=\frac{1-x}{x}
Divide both sides by x.
y=\frac{1-x}{x}
Dividing by x undoes the multiplication by x.
y=-1+\frac{1}{x}
Divide 1-x by x.
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