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Let a = 308 and b = 310. Every solution of the linear Diophantine equation is of the form ax+by = a + b x = 1 + ck, y = 1 + dk, KEZ where c, d are certain integers. Assuming that c is a positive integer, what is the value of c? Enter O if there is not enough information to determine the value of c.

Let a = 308 and b = 310. Every solution of the linear Diophantine equation is of the form ax+by = a + b x = 1 + ck, y = 1 + dk, KEZ where c, d are certain integers. Assuming that c is a positive integer, what is the value of c? Enter O if there is not enough information to determine the value of c.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Need help with this Intro to Elementary Number Theory homework problem.

 

covered topics

  • prime numbers
  • linear Diophantine equations
  • systems of linear Diophantine equations.

 

Let a = 308 and b = 310. Every solution of the linear Diophantine equation is of the form ax+by = a + b x = 1 + ck, y = 1 + dk, KEZ where c, d are certain integers. Assuming that c is a positive integer, what is the value of c? Enter O if there is not enough information to determine the value of c.
Transcribed Image Text:Let a = 308 and b = 310. Every solution of the linear Diophantine equation is of the form ax+by = a + b x = 1 + ck, y = 1 + dk, KEZ where c, d are certain integers. Assuming that c is a positive integer, what is the value of c? Enter O if there is not enough information to determine the value of c.
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