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Given that $k$ is a positive integer less than 6, how many values can $k$ take on such that $3x \equiv k \pmod{6}$ has no solutions in $x$?

 Dec 24, 2020
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k takes on the following value: 1,  2,  4,  5  for which 3x mod 6 ==k, has no solutions.

 Dec 24, 2020

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