# How do you solve the equation for w: wxy + z + 1 = 6?

Jul 8, 2015

Provided neither $x$ nor $y$ are $0$
$\textcolor{w h i t e}{\text{XXXX}}$$w = \frac{5 - z}{x y}$

#### Explanation:

If $w x y + z + 1 = 6$
then
$\textcolor{w h i t e}{\text{XXXX}}$$w x y + z = 5$

$\textcolor{w h i t e}{\text{XXXX}}$$w x y = 5 - z$
and if $x y \ne 0$
$\textcolor{w h i t e}{\text{XXXX}}$$w = \frac{5 - z}{x y}$