y = 5
Solution:
In the triangle WXZ, WY is the perpendicular bisector of XY.
XY = YZ
Perpendicular bisector theorem:
If a point is on the perpendicular bisector of a line segment, then it is equidistant from the end points of the line segment.
By the above theorem,
WX = WZ
2y + 7 = 5y – 8
Add 8 on both sides of the equation.
2y + 15 = 5y
Subtract 2y from both sides of the equation.
15 = 3y
Divide by 3 on both sides of the equation.
5 = y
Switch the sides.
y = 5
