Question

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

Answer 1

Point Y is the midpoint of segment XZ. Then value of x is 20

Solution:

Given that,

Point Y is the midpoint of segment XZ

XY = 2(3x +1)

YZ = 5x + 22

To find: Value of x

Since, Point Y is the midpoint of segment XZ,

Therefore,

XY = YZ

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

6x + 2 = 5x + 22

6x - 5x = 22 - 2

x = 20

Thus, value of x is 20