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15. Homework. Let a and b be integers. If 11 | 5x + 6y, prove that 11 | 8x + 3y.

15. Homework. Let a and b be integers. If 11 | 5x + 6y, prove that 11 | 8x + 3y.

Algebra & Trigonometry with Analytic Geometry
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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Just solve question 15 only (homework)
14. Let à and b be integers. If 7 +256), prove that 7 (10a + 116). 15. Homework. Let a and b be integers. If 11 | 5x+6y, prove that 11 | 8x + 3y. 16. Use Extended Euclidean Algorithm to solve the linear congruence 8x = 295 (mod 4973). 17. Use Extended Euclidean Algorithm to solve the linear congruence 11x = 14 (mod 4440). LATEX help
Transcribed Image Text:14. Let à and b be integers. If 7 +256), prove that 7 (10a + 116). 15. Homework. Let a and b be integers. If 11 | 5x+6y, prove that 11 | 8x + 3y. 16. Use Extended Euclidean Algorithm to solve the linear congruence 8x = 295 (mod 4973). 17. Use Extended Euclidean Algorithm to solve the linear congruence 11x = 14 (mod 4440). LATEX help
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