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# Find all real constants such that the system

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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+0 Answers

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For k = 4, all x = y is a solution, so this is the answer.

Jun 27, 2020