How do you solve #|-6x - 6| = 1#?

1 Answer
Jim G.
Sep 29, 2016

#x=-7/6 , x=-5/6#

Explanation:

An #color(blue)"absolute value" # can have 2 values. One positive and one negative. Hence there will be 2 solutions.

let: #-6x-6=1larr" positive value"#

add 6 to both sides.

#-6xcancel(-6)cancel(+6)=1+6#

#rArr-6x=7#

To solve for x, divide both sides by - 6.

#(cancel(-6) x)/cancel(-6)=7/(-6)#

#rArrx=-7/6" is one solution"#

let #-6x-6=-1larr" negative value"#

#rArr-6x=-1+6=5#

#rArrx=-5/6" is the second solution"#

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