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

p - 2q = 3

q - 2r = -2 + q

p + r = 9 + p

 Jul 13, 2023
 #1
avatar+837 
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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.  

.

 Jul 13, 2023
 #2
avatar+198 
0

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...

 Jul 15, 2023

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