Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x. x = 20 x = 24 x = 18 x =11

Question

asked Feb 5, 2019 26.0k views

2 Answers

Aziz Punjani · Answer 1 · 2019-02-11T17:54:12+0000

Answer:

x = 20

Explanation:

To find the midpoint of a segment, add the lengths and divide by 2

If y is the midpoint the 2 parts have to be equal.

XY = YZ

2(3x+1) = 5x+22

Distribute

6x+2 = 5x+22

Subtract 5x from each side

6x-5x +2 = 5x-5x+22

x+2 =22

Subtract 2 from each side

x+2-2=22-2

x=20