Solve for x
x=\frac{y}{y-1}
y\neq 1
Solve for y
y=\frac{x}{x-1}
x\neq 1
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12xy-12x=12y
Subtract 12x from both sides.
\left(12y-12\right)x=12y
Combine all terms containing x.
\frac{\left(12y-12\right)x}{12y-12}=\frac{12y}{12y-12}
Divide both sides by 12y-12.
x=\frac{12y}{12y-12}
Dividing by 12y-12 undoes the multiplication by 12y-12.
x=\frac{y}{y-1}
Divide 12y by 12y-12.
12xy-12y=12x
Subtract 12y from both sides.
\left(12x-12\right)y=12x
Combine all terms containing y.
\frac{\left(12x-12\right)y}{12x-12}=\frac{12x}{12x-12}
Divide both sides by 12x-12.
y=\frac{12x}{12x-12}
Dividing by 12x-12 undoes the multiplication by 12x-12.
y=\frac{x}{x-1}
Divide 12x by 12x-12.
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