Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 0
q - 2r = 8
p + r = 5
p - 2q = 0 → p = 2q (1)
q - 2r = 8 → r = (q - 8) / 2 (2)
p + r = 5 (3)
Sub (1) , (2) into (3)
2q + (q - 8) / 2 = 5
4q + q - 8 = 10
5q - 8 = 10
5q = 18
q = 18/5 p = 2(18/5) = 36/5 r = (18/5 - 8 ) / 2 = -11/5