SOLUTION: Y is the midpoint of line XZ. If line YZ=2x+8 and XZ=6x-26, find the value of XY. I don't understand. Someone plz explain.

Question 1146225: Y is the midpoint of line XZ. If line YZ=2x+8 and XZ=6x-26, find the value of XY. I don't understand. Someone plz explain.
Found 2 solutions by math_helper, josgarithmetic:
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

You have X----------Y----------Z
| |<- 2x+8 ->|
| |
|<----- 6x-26 ------>|

XY = (6x-26) - (2x+8) AND we know XY = YZ b/c Y is the midpoint of XZ, so

(6x-26) - (2x+8) = (2x+8)

Solving for x: x = 21 --> XY = 2(21)+8 = 50

Check:
XY = 50
YZ = 50
XZ = 50+50 = 100 by adding the two segment lengths and by the
formula: 6x-26, XZ=6(21)-26 = 126-26 = 100
---

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Y is the midpoint of SEGMENT XZ. If SEGMENT LENGTH YZ = 2x+8 and SEGMENT LENGTH XZ = 6x-26, find the value of XY.
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