Question

|6x|+3=21 solve for X (absolute value)​

Answer 1

Answer:

$x=3\text{ or } x=-3$

Step-by-step explanation:

So we have the equation:

$|6x|+3=21$

First, subtract 3 from both sides:

$|6x|=18$

Definition of absolute value:

$6x=18\text{ or } 6x=-18$

Divide both sides by 6 for both equations:

$x=3\text{ or } x=-3$

And we're done!

Answer 2

Answer:

$x=3$ and $x=-3$

Step-by-step explanation:

$\left|6x\right|+3=21$

Subtract 3 to both sides:

$\left|6x\right|+3-3=21-3\\|6x|=18$

Apply the absolute rule: If |a| = b and b > 0, a = -b or a = b.

Thus,

Case 1:

$6x=18$

Divide both sides by 6:

$x=3$

Case 2:

$6x=-18$

Divide both sides by 6:

$x=-3$