Solve x=y/y+2

$$x = \frac { y } { y + 2 }$$

Solve for y

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

$$x\neq 1$$

Steps for Solving Linear Equation

Variable y cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by y+2.

$$x\left(y+2\right)=y$$

Use the distributive property to multiply x by y+2.

$$xy+2x=y$$

Subtract y from both sides.

$$xy+2x-y=0$$

Subtract 2x from both sides. Anything subtracted from zero gives its negation.

$$xy-y=-2x$$

Combine all terms containing y.

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

Divide both sides by x-1.

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

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

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

Variable y cannot be equal to -2.

$$y=-\frac{2x}{x-1}\text{, }y\neq -2$$

Solve for x

$$x=\frac{y}{y+2}$$

$$y\neq -2$$