Show that if m is an integer greater than 1 and ac ≡ bc (mod m), then a = b (mod m), then a ≡ b (mod m)/gcd (c, m)).

Step 1:

In this problem, we need to show that if m is an integer greater than 1 and , then a = b(mod m), then

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ISBN: 9780073383095
37

Discrete Mathematics and Its Applications | 7th Edition

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4

Problem 15E

Show that if m is an integer greater than 1 and ac ≡ bc (mod m), then a = b (mod m), then a ≡ b (mod m)/gcd (c, m)).

Step-by-Step Solution:
##### Textbook: Discrete Mathematics and Its Applications

##### Edition: 7

##### Author: Kenneth Rosen

##### ISBN: 9780073383095

Step 1:

In this problem, we need to show that if m is an integer greater than 1 and , then a = b(mod m), then

Step 2 of 2
###### Chapter 4.4, Problem 15E is Solved

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Show that if m is an integer greater than 1 and ac ? bc

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