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3. prove that a linear diophantine equation a1x1a2x2anxnc has at least...

# Question: prove that a linear diophantine equation a1x1a2x2anxnc has at least...

###### Question details

Prove that a linear Diophantine equation a1x1+a2x2+...+anxn=c has at least one solutoin if and only if the gcd(a1,...an)=c