Solve for x 2/y=x/(3z)

$\frac{2}{y} = \frac{x}{3 z}$

Rewrite the equation as $\frac{x}{3 z} = \frac{2}{y}$ .

$\frac{x}{3 z} = \frac{2}{y}$

Multiply both sides by $3 z$ .

$\frac{x}{3 z} (3 z) = \frac{2}{y} (3 z)$

Simplify.

Simplify the left side.

Simplify $\frac{x}{3 z} (3 z)$ .

Rewrite using the commutative property of multiplication.

$3 \frac{x}{3 z} z = \frac{2}{y} (3 z)$

Cancel the common factor of $3$ .

Factor $3$ out of $3 z$ .

$3 \frac{x}{3 (z)} z = \frac{2}{y} (3 z)$

Cancel the common factor.

$3 \frac{x}{3 z} z = \frac{2}{y} (3 z)$

Rewrite the expression.

$\frac{x}{z} z = \frac{2}{y} (3 z)$

Cancel the common factor of $z$ .

Cancel the common factor.

$\frac{x}{z} z = \frac{2}{y} (3 z)$

Rewrite the expression.

$x = \frac{2}{y} (3 z)$

Simplify the right side.

Simplify $\frac{2}{y} (3 z)$ .

Rewrite using the commutative property of multiplication.

$x = 3 \frac{2}{y} z$

Multiply $3 \frac{2}{y}$ .

Combine $3$ and $\frac{2}{y}$ .

$x = \frac{3 \cdot 2}{y} z$

Multiply $3$ by $2$ .

$x = \frac{6}{y} z$

Combine $\frac{6}{y}$ and $z$ .

$x = \frac{6 z}{y}$