Solve x:y=1:z

$$x : y = 1 : z$$

Solve for x

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

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

Steps for Solving Linear Equation

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

$$zx=y$$

Divide both sides by z.

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

Dividing by z undoes the multiplication by z.

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

Solve for y

$$y=xz$$

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

Solution Steps

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.

$$zx=y$$

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

$$y=zx$$

Variable y cannot be equal to 0.

$$y=zx\text{, }y\neq 0$$