Determine if the system of linear Diophantine equations 2x - 2y = 12.2 -3x + 3y = -24-2 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
2x2y = 12.2
-3x + 3y = -24.2
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 2x2y = 12.2 -3x + 3y = -24.2 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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