Find the smallest positive integer x that solves the congruence: 4x = 5 (mod 27) (Hint: From running the Euclidean algorithm forwards and backwards we get = s(4) + t(27). Find s and use it to solve the congruence.)

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Q: 1. Use the Euclidean Algorithm to find integers a and b such that ax 35+bx 13 = 1.

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