Question

How do you solve `6|x| - 9 = 1 5`?

Answer 1

`x=+-4`

Explanation:

`"isolate "|x|" by adding 9 to both sides and dividing by 6"`

`rArr6|x|=15+9=24`

`rArr|x|=24/6=4`

`"the x inside the absolute value can be positive or"`
`"negative"`

`rArrx=+-4`

Answer 2

x = 4
x = -4

Explanation:

`6|x|-9 = 15`

add 9 to both sides

`6|x| = 24`

divide both sides by 6

`|x| = 4`

`x = 4`, `x = -4`

because absolute value always will return a positive value for you so `|x| = 4`

`|4| = 4`

`|-4| = 4`

to check your answer substitute x values in the original equation
you will get 15 = 15 which it means that the values are correct