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Let k be a real constant. Note that (x,y) = (0,0) is always a solution to the system-

 

x+3y = kx
3x+y = ky

 

Find all values of k for which (0,0) is not the only solution.

 

what do i need to solve this? i don't think it's possible to use elimination.. ?

 Mar 16, 2020
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For k = 4, both equations reduce to x = y, so the answer is k = 4.

 Mar 16, 2020

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