Answer:
Distance xy is 6
Distance yz is 11
Explanation:
Given that the full length between x and z, xz = 17
Point y is located along xz where :
yz = 3x-10
xy = 2x-8
A simple sketch to show the distance and points can be;
x----2x-8---------y------3x-10-----------z
-----------------------17-----------------------
So you can see from this sketch that;
(2x-8) +(3x-10) = 17
2x-8+3x-10=17
5x-18=17
5x=17+18
5x=35
x=35/5 = 7
x=7
Distance xy=2x-8 = 2(7)-8 = 14-8 = 6
Distance yz=3x-10 = 3(7)-10 = 21-10 =11