Find the ordered triple (x, y,z) that satisfies the following system: x-2y& =0 y-2z& =0 x+z& =5.

First we correctly rewrite the system of equations:
 x-2y = 0
 y-2z = 0
 x + z = 5
 Solving the system of equations by any method we obtain the following results:
 x = 4
 y = 2
 z = 1
 Therefore we have that the ordered triple (x, y, z) is:
 (x, y, z) = (4, 2, 1)
 
 the ordered triple (x, y, z) that satisfies the system is: 
 (x, y, z) = (4, 2, 1)

A’b’c’ are the coordinates to the new location of the transformed triangle abc. find the distance between the coordinates points to use for your calculations.