How do you solve $| 5 x | = 6$ $abs(5x)=6$ ?

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Answer 1 · 2015-06-28T01:09:24

Write one equation where 5x is positive and one where 5x is negative. Solve for x.

Solve $| 5 x | = 6$ $abs(5x)=6$

Since a number inside absolute value symbols can be positive and negative, we will need two equations.

If 5x is positive:

$5 x = 6$ $5x=6$

Divide both sides by 5.

$x = \frac{6}{5}$ $x=6/5$

If 5x is negative:

$- 5 x = 6$ $-5x=6$

Divide both sides by -5.

$x = - \frac{6}{5}$ $x=-6/5$

$x = \pm \frac{6}{5}$ $x=+-6/5$

How do you solve |5x|=6abs(5x)=6?