If line segment XM=5x+3, MY=8x-3 and M=2y+6 then XY=26 and the value of y =7/2.
Given that XM=5x+3, MY=8x-3 and M=2y+6.
We are required to find the length of XY and the value of y.
A perpendicular bisector is a line which divides the line segment through its mid point.
If M is the mid point of XY then XM is equal to MY.
5x+3=8x-3
8x-5x=3+3
3x=6
x=2
XY=XM+MY
XY=5x+3+8x-3
XY=13x
XY=13*2
XY=26
Because M is the mid point so,
2y+6=(5x+3+8x-3)/2
2y+6=13x/2
2y+6=13*2/2
2y+6=26/2
2y+6=13
2y=7
y=7/2
Hence if line segment XM=5x+3, MY=8x-3 and M=2y+6 then XY=26 and the value of y =7/2.
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