Solve x+4x/y=z

$$\frac{ x+4x }{ y } = z$$

Solve for x

$$x=\frac{yz}{5}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$x+4x=zy$$

Combine x and 4x to get 5x.

$$5x=zy$$

The equation is in standard form.

$$5x=yz$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{yz}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{yz}{5}$$

Solve for y

$$\left\{\begin{matrix}y=\frac{5x}{z}\text{, }&x\neq 0\text{ and }z\neq 0\\y\neq 0\text{, }&z=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$x+4x=zy$$

Combine x and 4x to get 5x.

$$5x=zy$$

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

$$zy=5x$$

Divide both sides by z.

$$\frac{zy}{z}=\frac{5x}{z}$$

Dividing by z undoes the multiplication by z.

$$y=\frac{5x}{z}$$

Variable y cannot be equal to 0.

$$y=\frac{5x}{z}\text{, }y\neq 0$$