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Find all real constants \(k \) such that the system \(\begin{align*} x + 3y &= kx, \\ 3x + y &= ky. \end{align*} \)

has a solution other than \((x,y) = (0,0). \)

 Jun 27, 2020
 #1
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For k = 4, all x = y is a solution, so this is the answer.

 
 Jun 27, 2020

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