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Given that x=y=0x=y=0x=y=0 is not the only solution to the following system of linear equations, determine all the possible values of k:k:k: x+2y=kx2x+y=ky.\begin{aligned} x+2y &= kx \\ 2x+y &= ky . \end{aligned}x+2y2x+y=kx=ky.
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