Question

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

Answer 1

x=20

Explanation:

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Answer 2

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