Solve y/x+2=z

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

Solve for x

$$\left\{\begin{matrix}x=\frac{y}{z}-2\text{, }&y\neq 0\text{ and }z\neq 0\\x\neq -2\text{, }&z=0\text{ and }y=0\end{matrix}\right.$$

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.

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

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

$$y=zx+2z$$

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

$$zx+2z=y$$

Subtract 2z from both sides.

$$zx=y-2z$$

Divide both sides by z.

$$\frac{zx}{z}=\frac{y-2z}{z}$$

Dividing by z undoes the multiplication by z.

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

Divide y-2z by z.

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

Variable x cannot be equal to -2.

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

Solve for y

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

$$x\neq -2$$

Solution Steps

Multiply both sides of the equation by x+2.

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

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

$$y=zx+2z$$