Solve x^2-1/x-1=y

$$\frac { x ^ { 2 } - 1 } { x - 1 } = y$$

Solve for y

$$y=x+1$$

$$x\neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x-1.

$$x^{2}-1=y\left(x-1\right)$$

Use the distributive property to multiply y by x-1.

$$x^{2}-1=yx-y$$

Swap sides so that all variable terms are on the left hand side.

$$yx-y=x^{2}-1$$

Combine all terms containing y.

$$\left(x-1\right)y=x^{2}-1$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)y}{x-1}=\frac{x^{2}-1}{x-1}$$

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

$$y=\frac{x^{2}-1}{x-1}$$

Divide x^{2}-1 by x-1.

$$y=x+1$$

Solve for x

$$x=y-1$$

$$y\neq 2$$