Question

|3x - 9| = 12
Show all steps please and thank you!

Answer 1

7 & -1

Explanation:

Assuming you want the value of x...

Since the equation is wrapped in an absolute value, we must get x for both the positive and negative value.

Positive x

`3x-9=12\\3x=21\\x=7`

Negative x

`3x-9=-12\\3x=-3\\x=-1\\`

Both of these will equal 12 when tested.

`|3(-1)-9|=12\\|-3-9|=12\\|-12|=12\\12=12\\`

`|3(7)-9|=12\\|21-9|=12\\12=12\\`

Answer 2

ayy I gotchuu

Explanation:

theres gonna be two solutions

a negative then positive

positive:

|3x - 9| = 12

3x-9=12

3x=21

x=7

negative:

3x-9=-12

3x=-3

x=-1