Question

Solve |3x + 9| + 6 = 6 Question 4 options: A) x = –3 B) x = 3 or x = –3 C) No solutions D) x = 3

Answer 1

A)x=−3

Explanation:

Step 1: Add -6 to both sides.

|3x+9|+6+−6=6+−6

|3x+9|=0

Step 2: Solve Absolute Value.

|3x+9|=0

We know 3x+9=0

3x+9=0(Possibility 1)

3x+9−9=0−9(Subtract 9 from both sides)

3x=−9

3x /3 = −9 /3

(Divide both sides by 3)

x=−3

Answer 2

A) x = -3

Explanation:

|3(-3) + 9| = 0

|-9 + 9| = 0

|0| = 0

0 = 0