Question

Solve the absolute value equation. |2x-31| = 17​

Answer 1

24

To find:

x

Explanation:

2x-31 = 17

2x=17+31

2x=48

x=48/2

x=24​

hope it helps you!

Answer 2

x = 24 x = 7

Explanation:

|2x-31| = 17​

Absolute value equations have 2 solutions, one positive and one negative

2x-31 = 17 and 2x-31 = -17

Add 31 to each side

2x-31+31 = 17+31 and 2x-31+31 = -17+31

2x = 48 2x = 14

Divide by 2

2x/2 = 48/2 2x/2 = 14/2

x = 24 x = 7