How do you solve #|6-y|=8#?

Question

1794 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-03T10:59:16

#y_1# = -2
#y_2# = 14

First of all separate the two absolute equations as if they were two separate equations (one positive and one negative)

6-#y#=8
6-#y#=-8

Then, you solve equations. Solve the first one

#=> -y = 8-6 => -y = 2 => y = -2#

Then, the second one :

#=> -y = -8-6 => -y = -14 => y = 14#

So the two solutions are

#y_1 = -2#
and
#y_2 = 14#