Question

Given segment XZ and point Y that lies on XZ, find ZY if XZ=17, XY = -11+5x, and ZY = 33-6x

Answer 1

XY and ZY added together form XZ (The whole segment)

XY+ZY=XZ

Substitute the values in to get:

-11+5x+33-6x=17

Combine like terms to get:

-x+22=17

Isolate x by subtracting 22 from 17

You end up with -x=-5

Divide both sides by 1 to get: x=5

Substitute the x in 33-6x with 5

You will have 33-6(5)=ZY

33-30=ZY

ZY=3

Answer 2

Thank you so much

Answer 3

Glad to be of service.