Prove that there does not exist integers m and n such that 2m+4n=7

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Question:

Prove that there does not exist integers m and n such that 2m+4n=7

Answers

[tex]2m+4n=7\iff m+2n=\dfrac72[/tex]There is no choice of integers [tex](m,n)[/tex] such that the left hand side is a rational number.

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