# How do you solve 7 | q | - 2 = 9?

May 4, 2017

$q = \pm \frac{11}{7}$

#### Explanation:

$7 \left\mid q \right\mid = 9 + 2$
$\left\mid q \right\mid = \frac{11}{7}$
$q = \pm \frac{11}{7}$

May 4, 2017

$q = \pm \frac{11}{7}$

#### Explanation:

$\textcolor{b l u e}{\text{Isolate " |q|" on the left side}}$

$\text{add 2 to both sides}$

$7 | q | \cancel{- 2} \cancel{+ 2} = 9 + 2$

$\Rightarrow 7 | q | = 11$

$\text{divide both sides by 7}$

$\frac{\cancel{7} | q |}{\cancel{7}} = \frac{11}{7}$

$\Rightarrow | q | = \frac{11}{7}$

$\text{the value of q inside the absolute value function can be}$
$\text{positive or negative}$

$\Rightarrow q = \pm \frac{11}{7}$