# How do you solve \frac { 4z } { 7} - 8= 1?

Jul 27, 2018

$z = 15.75$

#### Explanation:

$\frac{4 z}{7} - 8 = 1$

Add $\textcolor{b l u e}{8}$ to both sides:
$\frac{4 z}{7} - 8 \quad \textcolor{b l u e}{+ \quad 8} = 1 \quad \textcolor{b l u e}{+ \quad 8}$

$\frac{4 z}{7} = 9$

Multiply both sides by $\textcolor{b l u e}{7}$:
$\frac{4 z}{7} \textcolor{b l u e}{\cdot 7} = 9 \textcolor{b l u e}{\cdot 7}$

$4 z = 63$

Divide both sides by $\textcolor{b l u e}{4}$:
$\frac{4 z}{\textcolor{b l u e}{4}} = \frac{63}{\textcolor{b l u e}{4}}$

$z = 15.75$

Hope this helps!