How do you solve a multi step algebraic equation, that includes a absolute value #abs( 3x - 1)= 13#?

Question

17475 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-09T23:35:13

#x=14/3# and #x=-4#

We can rewrite our equation without the absolute value signs like the following:

#3x-1=13# and #3x-1=-13#

We create two equations with a positive and negative solution. To both, let's add #1# to both sides to get

#3x=14# and #3x=-12#

Divide both sides of both equations by #3#, and we get

#x=14/3# and #x=-4#

Hope this helps!