# How do you solve abs(3x)=9?

Mar 8, 2018

You need to create two equations.

#### Explanation:

First, in order to eliminate the absolute value sign, you must create two equations. Since the number in the absolute value can either be positive or negative, you will need to make two equations with one answer positive and one negative.

$| 3 x | = 9$

So

$3 x = 9 \text{ }$ and $\text{ } 3 x = - 9$

After that, solve for the variable $x$ and list both solutions.
$x = 3$
$x = - 3$