Question

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

Answer 1

`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`