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

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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 $abs(5x)=6$

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

If 5x is positive:

$5x=6$

Divide both sides by 5.

$x=6/5$

If 5x is negative:

$-5x=6$

Divide both sides by -5.

$x=-6/5$

$x=+-6/5$

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