SOLUTION: If X is the midpoint of WY, WX=3x-1 and WY= 10x-26 find XY. How do I do this?

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Question 1013121: If X is the midpoint of WY, WX=3x-1 and WY= 10x-26 find XY.
How do I do this?
Found 2 solutions by macston, josgarithmetic:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
It should be pointed out x and X are not the same thing.
Using upper case and lower case of same letter as variables
should be avoided, as it gets confusing.
.
WY - WX = XY
(10x-26)-(3x-1)= XY
7x-25 = XY
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Since X is the midpoint, WX=XY:
3x-1=7x-25
24=4x
6=x
.
XY=7x-25=7(6)-26=42-25=17
ANSWER: XY=17
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CHECK:
.
WX=XY
3x-1=17
3(6)-1=17
18-1=17
17=17

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
WX%2BXY=WY, segment addition postulate

3x-1%2BXY=10x-26, substitution

Also WX=XY because of X being the midpoint. You can find the value for x.
3x-1%2B%283x-1%29=10x-26, again by substitution.

6x-2=10x-26
-4x-2=-26
-4x=-24
highlight%28x=6%29-------------Now you can use this to evaluate XY.



17