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

p - 2q = 3

q - 2r = -2 + q

p + r = 9 + p

Guest Jul 3, 2023

#1**0 **

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

*p - 2q = 3 *

*q - 2r = -2 + q *

*p + r = 9 + p *

I first answered this problem, jeez, it must have been at least a year ago by now.

Since then, I've copied and pasted the answer in again a dozen times or more.

Oh well, once more unto the breach.........

Let's number those equations, for identification only:

(1) p – 2q = 3

(2) q – 2r = –2 + q

(3) p + r = 9 + p

Per equation (2), r = 1

Per equation (3), r = 9

You can't have both at the same time. **The system has no solution.**

_{.}

Bosco Jul 4, 2023