(b) Prove that if a = 7 mod 10 and b = 6 mod 15, then a + b = 3 mod 5.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 76E
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![Proficiency #9. [Modular Arithmetic]
(a) Find two integers satisfying the equation r + 24x² – 2 = 0 mod 23.
(b) Prove that if a = 7 mod 10 and b = 6 mod 15, then a + b = 3 mod 5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79fec644-cc9a-4e79-932f-9a07bdd10b3d%2F99705f51-c11c-486b-9085-ca594a5540d1%2Fzstyjpf_processed.png&w=3840&q=75)
Transcribed Image Text:Proficiency #9. [Modular Arithmetic]
(a) Find two integers satisfying the equation r + 24x² – 2 = 0 mod 23.
(b) Prove that if a = 7 mod 10 and b = 6 mod 15, then a + b = 3 mod 5.
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