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).
In this problem, we are asked to show that .
, where k is any integer.
Divide equation (1) by d on both sides.We get
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
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.