Solve y=2/x+2

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

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

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

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

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

$$yx+2y=2$$

Subtract 2y from both sides.

$$yx=2-2y$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{2-2y}{y}$$

Dividing by y undoes the multiplication by y.

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

Divide 2-2y by y.

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

Variable x cannot be equal to -2.

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

Solve for y

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

$$x\neq -2$$