# How do you solve z/4 - 5 = 9 ?

May 30, 2016

$z = 56$

#### Explanation:

$\frac{z}{4} - 5 = 9$

We try to keep all $z$ terms on one side.

$\frac{z}{4} - 5 \textcolor{red}{+ 5} = 9 \textcolor{red}{+ 5}$

$\frac{z}{4} = 14$

Next, multiply both sides by 4

$\frac{z}{4} \textcolor{red}{\times 4} = 14 \textcolor{red}{\times 4}$

$\frac{z}{\cancel{4}} \times \cancel{4} = 56$

This gives:

$z = 56$

May 30, 2016

Separate the constants from the variable, combine them for a final numerical answer for the variable.

#### Explanation:

 z/4 − 5 = 9 ADD '5' to both sides (keeps the equation equal).

 z/4 − 5 + 5 = 9 + 5 ; z/4 = 14 Now multiply both sides by 4.

 z/4 xx 4 = 14 xx 4 ; z = 56