Solve for x
x=\frac{2}{y-1}
y\neq 1
Solve for y
y=\frac{x+2}{x}
x\neq 0
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yx=2+x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
yx-x=2
Subtract x from both sides.
\left(y-1\right)x=2
Combine all terms containing x.
\frac{\left(y-1\right)x}{y-1}=\frac{2}{y-1}
Divide both sides by y-1.
x=\frac{2}{y-1}
Dividing by y-1 undoes the multiplication by y-1.
x=\frac{2}{y-1}\text{, }x\neq 0
Variable x cannot be equal to 0.
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