Solve m=n-1/n+1

$$m = \frac { n - 1 } { n + 1 }$$

Solve for n

$$n=-\frac{m+1}{m-1}$$

$$m\neq 1$$

Steps for Solving Linear Equation

Variable n cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by n+1.

$$m\left(n+1\right)=n-1$$

Use the distributive property to multiply m by n+1.

$$mn+m=n-1$$

Subtract n from both sides.

$$mn+m-n=-1$$

Subtract m from both sides.

$$mn-n=-1-m$$

Combine all terms containing n.

$$\left(m-1\right)n=-1-m$$

The equation is in standard form.

$$\left(m-1\right)n=-m-1$$

Divide both sides by m-1.

$$\frac{\left(m-1\right)n}{m-1}=\frac{-m-1}{m-1}$$

Dividing by m-1 undoes the multiplication by m-1.

$$n=\frac{-m-1}{m-1}$$

Divide -1-m by m-1.

$$n=-\frac{m+1}{m-1}$$

Variable n cannot be equal to -1.

$$n=-\frac{m+1}{m-1}\text{, }n\neq -1$$

Solve for m

$$m=-\frac{1-n}{n+1}$$

$$n\neq -1$$