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

1 Answer
Apr 17, 2017

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