Find the ordered triple (p,q,r) that satisfies the following system:

p - 2q = 3

q - 2r = -2 + q

p + r = 9 + p

LiIIiam0216 Aug 8, 2024

#1**+1 **

From the second equation, note that the q cancels out. Isolating r, we get

\(q-2r=-2+q\\ -2r=-2+q-q\\ r=-2/-2 = 1\)

However, now take a look at the third equation. The p also cancels out. Isolating r again, we get

\(p+r=9+p\\ p=9+p-p\\ p = 9\)

Since there are two DIFFERENT values of r given in one solution, this question has no solutions.

NO SOLUTIONS!

Thanks! :)

NotThatSmart Aug 8, 2024