. Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 56RE
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. Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.
Transcribed Image Text:. Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.
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