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How do you solve a system like this?

 

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

\begin{align*}

p - 2q &= 3

q - 2r &= -2 + q

p + r &= 9 + p

\end{align*}

 Aug 2, 2023
 #1
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p = 3 + 2q 

 

r = 9 + p - p 

 

r = 9 

 

q = -2 + q - 2r 

 

0 = -2 + -2r 

 

2 = -2r 

 

r = -1 

 

There are 2 different r values , thus there is no solution to this system smiley

 Aug 3, 2023

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