Solve the following linear congruences for x. (a) 3x = 1 (mod 31) (b) 5x = 8

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Solve the following linear congruences for x.
(a) 3x = 1 (mod 31)
(b) 5x = 8 (mod 37)
(c) 6x = 97 (mod 125)

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:02 AM

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Solve the following linear congruences for x. (a) 3x = 1 (mod 31) (b) 5x = 8

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Step by Step Answer:

a 3x 7 mod 31 Since gcd331 1 3 1 exists in Z 31 Using the Euclidean algorithm we have ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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