1. Given that 3617 × 4115 - 822 × 18107 = 1, solve the equation 3617x = 271 (mod 18107) 2. Define ~on Z by ab if and only if 3a + 4b = 0(mod 7). Is an equivalence relation? If is an equivalence relation, find 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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1. Given that 3617 × 4115 - 822 × 18107 = 1, solve the equation 3617x = 271 (mod 18107)
2. Define ~on Z by ab if and only if 3a + 4b = 0(mod 7). Is an equivalence relation?
If is an equivalence relation, find 0.
Transcribed Image Text:1. Given that 3617 × 4115 - 822 × 18107 = 1, solve the equation 3617x = 271 (mod 18107) 2. Define ~on Z by ab if and only if 3a + 4b = 0(mod 7). Is an equivalence relation? If is an equivalence relation, find 0.
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