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Foundations of matematics question need help solving.

Q1. Consider the Diophantine equation (i). Use Euclids Algorithm to compute ged(17,60) (ii). Determine the solvability of th


01. Consider the Diophantine equation 17x +60y-3 (D. Use Euclids Algorithm to compute gcd(17,60) (i). Determine the solvabil
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Answer #1

17) 60 C3 -51 9) 17 C :, gcd (17,60)ニ 1 solvable and only i gcdCarbc Here gcd (17,60)=1 and 113 solvable. 17χ+60y-3 i s = г.All SolUHfons ‘t dío Pha ntine equations are for ke → lde have 7 53 mod 6 o Bt modulo 6 O :.53 s he inverse of modulo 6o.

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