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

1 Answer
Nov 3, 2016

Answer:

#{-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}#