Solve for y z=x/y

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

Rewrite the equation as $\frac{x}{y} = z$ .

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

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y, 1$

The LCM of one and any expression is the expression.

$y$

Multiply each term in $\frac{x}{y} = z$ by $y$ to eliminate the fractions.

Multiply each term in $\frac{x}{y} = z$ by $y$ .

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

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

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

Rewrite the expression.

$x = z y$

Solve the equation.

Rewrite the equation as $z y = x$ .

$z y = x$

Divide each term in $z y = x$ by $z$ and simplify.

Divide each term in $z y = x$ by $z$ .

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

Simplify the left side.

Cancel the common factor of $z$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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