How do you solve abs(3x+5) =1?

1 Answer

The solutions are x=-2 and x=-4/3

Explanation:

The absolute value is defined as

absa=a if a>=0 and absa=-a if a<0

Hence the above equation becomes

abs(3x+5)=1=>3x+5=1 or 3x+5=-1

Then we have two solutions

3x+5=1=>3x=-4=>x=-4/3

and

3x+5=-1=>3x=-6=>x=-2