How do you solve abs(5x+6)=41?

1 Answer
Nov 3, 2016

{-9.4,7}

Explanation:

Imagine a number line. The definition of abs value is the distance from zero, so when dealing with abs value equations you have to set up 2 different equations.
5x+6=41
and
5x+6=-41
so the distance from zero means from both the positive and negative directions

5x+6=41
5x=35
x=7

5x+6=-41
5x=-47
x=-47/5=-9.4

{-9.4,7}