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)
Answer:
the ordered triple (x, y, z) that satisfies the system is:
(x, y, z) = (4, 2, 1)