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
Let's just number those equations, for identification:
(1) p – 2q = 3
(2) q – 2r = –2 + q
(3) p + r = 9 + p
Per equation (2), r = 1
Per equation (3), r = 9
It can't be both at the same time, so the system has no solution.
.
Here's a hint...
try to solve one of the equations in terms of one of the variables...
the plug that equation into the other equations...