Monday, 14 August 2017

elementary number theory - Linear Diophantine equation 3x+5y=11


Solve the Diophantine equation 3x+5y=11




I know how to calculate GCD




5=1⋅3+2



3=1⋅2+1



2=2⋅1+0



But how do I use this theorem to derive the correct answer?

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