Solve x/y=4/z

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

Solve for x

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

$$y\neq 0\text{ and }z\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by yz, the least common multiple of y,z.

$$zx=y\times 4$$

The equation is in standard form.

$$zx=4y$$

Divide both sides by z.

$$\frac{zx}{z}=\frac{4y}{z}$$

Dividing by z undoes the multiplication by z.

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

Solve for y

$$y=\frac{xz}{4}$$

$$z\neq 0\text{ and }x\neq 0$$

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 yz, the least common multiple of y,z.

$$zx=y\times 4$$

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

$$y\times 4=zx$$

The equation is in standard form.

$$4y=xz$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{xz}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{xz}{4}$$

Variable y cannot be equal to 0.

$$y=\frac{xz}{4}\text{, }y\neq 0$$