How do you solve #3abs(3-5r)-3=18#?

1 Answer
Feb 17, 2017

Answer:

Youmay start by dividing evrything by #3#

Explanation:

#->|3-5r|-1=6# and add #1#
#->|3-5r|=7#

Now there are two possibilities:
(1)
#3-5r>=0# this is when #r<=3//5#:
#->3-5r=7->-5r=4->r=-4//5#

(2)
#3-5r<=0# this is when #r>=3//5#:
The signs between the bars 'flip':
#->-3+5r=7->5r=10->r=+2#
graph{|3-5x| [-6.38, 13.62, -0.64, 9.36]}