Solve (x+1)y=1

$$(x+1)y=1$$

Solve for x

$$x=-1+\frac{1}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

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

$$xy+y=1$$

Subtract y from both sides.

$$xy=1-y$$

The equation is in standard form.

$$yx=1-y$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{1-y}{y}$$

Dividing by y undoes the multiplication by y.

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

Divide 1-y by y.

$$x=-1+\frac{1}{y}$$

Solve for y

$$y=\frac{1}{x+1}$$

$$x\neq -1$$

Steps for Solving Linear Equation

Divide both sides by x+1.

$$\frac{\left(x+1\right)y}{x+1}=\frac{1}{x+1}$$

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

$$y=\frac{1}{x+1}$$