Absolute Value Linear Equations

Solve the following absolute value equation.

-5| 7x - 4 | = 20

• x = 0

• x = 8/7

• x = 0 and x = 8/7

• No Solution

|2x-5|=12

• no solution

Solve for x:

l x−6 l = 6

• x = 12 and x = 0

• x = 3 and x = -3

• x = -12 and x = 0

• No Solution

|x-3|=40

• x = 43, x = -37

• x = 43, x = -43

• x = -43, x = 37

• x = 43

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5

• x = 2 and x = -1

• x = -2 and x = 9

• No Solution

Solve the absolute value equation: |3x - 9| = 0

−2|−2r − 4| = -12

• {3,1}

• {-5,1)

• {-1, 5}

• No Solution

Solve the absolute value equation: |2y - 4| = 8