# How do you solve for z in a=1/2xyz?

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

#### Explanation:

This is an example of literal equation

from the given $a = \frac{1}{2} x y z$

multiply both sides of the equation by 2

$2 \cdot a = 2 \cdot \frac{1}{2} x y z$

$2 \cdot a = \cancel{2} \cdot \frac{1}{\cancel{2}} x y z$

$2 \cdot a = x y z$

Divide both sides of the equation by $\left(x y\right)$

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

$\frac{2 \cdot a}{x y} = \frac{\cancel{x y} z}{\cancel{x y}}$

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

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

God bless...I hope the explanation is useful.