Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x.
1 answer:
<h3>Point Y is the midpoint of segment XZ. Then value of x is 20</h3>
<em><u>Solution:</u></em>
Given that,
<em><u>Point Y is the midpoint of segment XZ</u></em>
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
<h3>x = 20</h3>
Thus, value of x is 20
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