Suppose that a and b are integers such that a = 45 (mod 71) and b = 53 (mod 71). Find an integer c such that 0
Suppose that a and b are integers such that a = 45 (mod 71) and b = 53 (mod 71). Find an integer c such that 0
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 35E
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![1. Suppose that a and b are integers such that a = 45 (mod 71) and b = 53 (mod 71).
Find an integer c such that 0 <c < 71 such that
(a) c= a® . b-5 (mod 71)
(b) a = b° (mod 71)
(c) c = 34(a – b) (mod 71)
(d) 29c = 41a +b7 (mod 71)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5f2ee8e-f506-432e-972d-f0fc622be5fc%2F29f1b269-0f83-4ddb-b6eb-d0c4e45f8475%2F6dtzluj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Suppose that a and b are integers such that a = 45 (mod 71) and b = 53 (mod 71).
Find an integer c such that 0 <c < 71 such that
(a) c= a® . b-5 (mod 71)
(b) a = b° (mod 71)
(c) c = 34(a – b) (mod 71)
(d) 29c = 41a +b7 (mod 71)
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