How do you solve the equation #abs(3x+6)=9#?

1 Answer
Apr 17, 2017

Answer:

#x = 1 " or " x = -5#

Explanation:

When working with absolute values the final answer is given as a positive value, but you have to consider that it could have come from a positive or negative number.

There will be 2 possible solutions for the variable.

Case 1

#3x +6 = +9#
#3x = 9-6#
#3x = 3#
#x=1#

Case 2

#3x +6 = -9#
#3x = -9-6#
#3x = -15#
#x =-5#

Both of these solutions will give a final answer of #9#.

#abs(+9 )= 9" " and" "abs(-9) =9#