Question

In the diagram below, M is the midpoint of KL. Solve for the value of X.

Answer 1

• KM=ML
• 2x+1=4x-11
• 2x=1+11=12
• x=12/2
• x=6

Done

Answer 2

x = 6

Explanation:

If point M is the midpoint of line KL, then the length of line segment KM equals the length of line segment ML.

⇒ KM = ML

⇒ 2x + 1 = 4x - 11

Subtract 2x from both sides:

⇒ 2x + 1 - 2x = 4x - 11 - 2x

⇒ 1 = 2x - 11

Add 11 to both sides:

⇒ 1 + 11 = 2x - 11 + 11

⇒ 12 = 2x

⇒ 2x = 12

Divide both sides by 2:

⇒ 2x ÷ 2 = 12 ÷ 2

⇒ x = 6