Solve y=1/1+x

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

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

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

$$y\left(x+1\right)=1$$

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

$$yx+y=1$$

Subtract y from both sides.

$$yx=1-y$$

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.

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

Variable x cannot be equal to -1.

$$x=-1+\frac{1}{y}\text{, }x\neq -1$$

Solve for y

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

$$x\neq -1$$