147k views
1 vote
Solve for the equation show all your work |3x-9| = 12

1 Answer

1 vote

Answer:

x = 7 and x = -1

Explanation:

The equation "|3x-9| = 12" can be written into two different equations:

3x-9 = 12 & 3x-9 = -12

This is because the net value inside of the absolute value will always be made positive even if it is negative. Therefore, the net value inside of the absolute value signs can also be equal to the negative of the solution.

Solve 3x-9 = 12:

Add 9 to both sides:

3x-9+9 = 12+9

3x=21

Divide both sides by 3:

3x÷3=21÷3

x=7

Solve 3x-9 = -12

Add 9 to both sides:

3x-9+9=-12+9

3x=-3

Divide both sides by 3:

3x÷3=-3÷3

x=-1

Your answer: x = 7 and x = -1

User Silveris
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.