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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

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.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,