How do you solve #6 abs[8-y]=36#?

2 Answers
Apr 18, 2016

Answer:

You may start by dividing both sides by #6#

Explanation:

#->|8-y|=6#

Now there are two possiblities, depending on the value of #y#

(1) #y<=8->8-y>=0#
The equation is equivalent to #8-y=6->y=2#

(2) #y>8->8-y<0#
But then the aboslute bars 'flip' the sign, and the equation becomes equivalent to #-8+y=6->y=14#
graph{|8-x| [-6.2, 25.85, -1.89, 14.13]}

Apr 18, 2016

Algebraically, #|8-y|=6# is the combined equation for the separate equations #8-y=6 and -(8-y)=6#. So, y = 2 and y = 14.