Question

Solve |6x + 3|= 15.

OA. x = -2 and x = 3
OB. x = 2 and x = -2
OC. x = -2 and x = -3
OD. x = 2 and x = = -3

Answer 1

Solve Absolute Value.

|6x + 3| = 15

We know either 6x + 3 =15 or 6x + 3 = −15

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6x + 3 = 15 (Possibility 1)

6x + 3 - 3 = 15 − 3 (Subtract 3 from both sides)

6x = 12

`\boldsymbol{\sf{(6x)/(6)=(12)/(6) \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}`

x = 2

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6x + 3 = −15 (Possibility 2)

6x + 3 - 3 = -15 - 3 (Subtract 3 from both sides)

6x = -18

`\boldsymbol{\sf{(6x)/(6)=(-18)/(6) \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}`

x = -3

Therefore, the answer is x = 2 or x = −3. The correct option is alternative "D".