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.
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
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.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F988321fe-2fa3-453d-a72b-be5ece348fb5%2F3d62152a-9b9a-4730-ab2a-776203838f2b%2Ffs07ur_processed.png&w=3840&q=75)
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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