Solve for m
m=\frac{n}{n-1}
n\neq 1
Solve for n
n=\frac{m}{m-1}
m\neq 1
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mn-m=n
Add n to both sides. Anything plus zero gives itself.
\left(n-1\right)m=n
Combine all terms containing m.
\frac{\left(n-1\right)m}{n-1}=\frac{n}{n-1}
Divide both sides by n-1.
m=\frac{n}{n-1}
Dividing by n-1 undoes the multiplication by n-1.
mn-n=m
Add m to both sides. Anything plus zero gives itself.
\left(m-1\right)n=m
Combine all terms containing n.
\frac{\left(m-1\right)n}{m-1}=\frac{m}{m-1}
Divide both sides by m-1.
n=\frac{m}{m-1}
Dividing by m-1 undoes the multiplication by m-1.
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