Find all solutions to the following Diophantine equations. i. 35x + 25y = 8 ii. 35x + 25y = 15 iii. 47x + 19y = 4 Datorming the integ 15

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter13: Conic Sections
Section13.1: Circles
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10ii 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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