Find the ordered triple that satisfies the following system: x-2y=0
y-2z=0
x+z=5
put answer as ( x,y,z)
x - 2y = 0 → x = 2y (1)
y - 2z = 0 → y = 2z → z = y/2 (2)
x + z = 5 (3)
Sub (1) , (2) into (3)
2y + y/2 = 5
2.5 y = 5
y = 5 / 2.5 = 2
x = 2(2) = 4
z = 2/2 = 1
(x, y, z) = (4, 2 , 1 )