Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 3
q - 2r = -2 + q
p + r = 9 + p
Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 3
q - 2r = -2 + q
p + r = 9 + p
We'll identify the three equations as equations 1, 2, and 3.
p - 2q = 3 (eq 1)
q - 2r = -2 + q (eq 2)
p + r = 9 + p (eq 3)
per (eq 3) p + r = 9 + p
subtract p from both sides r = 9
per (eq 2) q – 2r = –2 + q
subtract q from both sides –2r = –2
divide both sides by –2 r = 1
If the system is to be valid, then
r cannot be equal to both 9 and 1,
so there must be something wrong
with the problem as stated. cannot be solved
.
