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10. Find all solutions to the following Diophantine equations. i. 35x + 25y = 8 ii 35r +25v - 15

10. Find all solutions to the following Diophantine equations. i. 35x + 25y = 8 ii 35r +25v - 15

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 45E
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10i Modern applied algebra. Show work.
iii. 173 and 229 9. Prove that if n is odd, then gcd(3n, 3n + 2) = 1. 10. Find all solutions to the following Diophantine equations. i. 35x + 25y = 8 ii. 35x + 25y = 15 iii. 47x + 19y = 4 11. Determine the positive integer solutions to 18x - 5y = 15.
Transcribed Image Text:iii. 173 and 229 9. Prove that if n is odd, then gcd(3n, 3n + 2) = 1. 10. Find all solutions to the following Diophantine equations. i. 35x + 25y = 8 ii. 35x + 25y = 15 iii. 47x + 19y = 4 11. Determine the positive integer solutions to 18x - 5y = 15.
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