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

1 Answer
Aug 3, 2017

y_1 = -2
y_2 = 14

Explanation:

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