Thread: Eqaution with 2 variables

Prove that there do not exist integers such that

Im not quite sure how to go about proving this

Originally Posted by Stylis10

Prove that there do not exist integers such that

Im not quite sure how to go about proving this

Notice that the two coefficients, 14 and 20, are both even. That is, they are divisible by 2 and, no matter what m and n are, 14m+ 20n= 2(7m+10n) is divisible by 2.

Originally Posted by HallsofIvy

Notice that the two coefficients, 14 and 20, are both even. That is, they are divisible by 2 and, no matter what m and n are, 14m+ 20n= 2(7m+10n) is divisible by 2.

I realised that, but surely that cant be the whole proof, i just dont know how to give more that what you have said, that answer alone cant be worth 4 marks