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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

 Aug 8, 2024
 #1
avatar+1946 
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From the second equation, note that the q cancels out. Isolating r, we get

q2r=2+q2r=2+qqr=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+pp=9+ppp=9

 

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

 

NO SOLUTIONS!

 

Thanks! :)

 Aug 8, 2024
edited by NotThatSmart  Aug 8, 2024

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