What is the solution to –4|–2x + 6| = –24

x=0 or x=6

Step-by-step explanation:

−4 |−2x + 6| = -24

Step 1: Divide both sides by -4.

−4 /-4 |−2x + 6| = -24 / -4

|−2x + 6| = 6

Step 2: Solve Absolute Value.

|−2x + 6| = 6

Possibility 1 Equation: −2x + 6 = 6

Possibility 2 Equation: −2x + 6 = −6

Solve for Possibility 1:

−2x + 6 = 6

Subtract 6 from both sides:

−2x + 6−6 = 6-6

-2x = 0

Divide both sides by -2

−2/-2 x = 0/-2

Possibility 1: x=0

Solve for Possibility 2:

−2x + 6 = −6

Subtract 6 from both sides

−2x + 6−6 = −6-6

−2x = −12

Divide both sides by -2

−2/-2 x = −12 /-2

Possibility 2: x=6

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )