Determine if the system of linear Diophantine equations 2x + 4y = 12.4 4x + 2y = 12.4 has any integer solutions. If it has at least one solution, enter the smallest positive value of x out of all the solutions. If it has no solutions, enter 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.

 

Determine if the system of linear Diophantine equations
2x+4y
12.4
4x + 2y 12.4
=
has any integer solutions. If it has at least one solution, enter the smallest positive value of x out of all the solutions. If it has no solutions, enter 0.
Transcribed Image Text:Determine if the system of linear Diophantine equations 2x+4y 12.4 4x + 2y 12.4 = has any integer solutions. If it has at least one solution, enter the smallest positive value of x out of all the solutions. If it has no solutions, enter 0.
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