Solve x/y=3z

$$\frac{ x }{ y } = 3z$$

Solve for y

$$\left\{\begin{matrix}y=\frac{x}{3z}\text{, }&x\neq 0\text{ and }z\neq 0\\y\neq 0\text{, }&z=0\text{ and }x=0\end{matrix}\right.$$

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.

$$x=3zy$$

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

$$3zy=x$$

Divide both sides by 3z.

$$\frac{3zy}{3z}=\frac{x}{3z}$$

Dividing by 3z undoes the multiplication by 3z.

$$y=\frac{x}{3z}$$

Variable y cannot be equal to 0.

$$y=\frac{x}{3z}\text{, }y\neq 0$$

Solve for x

$$x=3yz$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by y.

$$x=3zy$$