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Show that if ac bc (mod m), where a.b.c, and m are

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 5E Chapter 4.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 5E

Show that if ac ≡ bc (mod m), where a.b.c, and m are integers with m > 2, and d = gcd(m,c), then a ≡ b (mod m/d).

Step-by-Step Solution:

Step 1</p>

In this problem, we are asked to show that .

Given  and

Step 2</p>

 implies that

, where k is any integer.

…….(1)

Divide equation (1) by d on both sides.We get

……(2)

Step 3 of 4

Chapter 4.SE, Problem 5E is Solved
Step 4 of 4

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “Show that if ac ? bc (mod m), where a.b.c, and m are integers with m > 2, and d = gcd(m,c), then a ? b (mod m/d).” is broken down into a number of easy to follow steps, and 28 words. Since the solution to 5E from 4.SE chapter was answered, more than 249 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5E from chapter: 4.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: mod, gcd, integers, show, Where. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

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