A New Approach to Solve Simultaneous Linear Diophantine Equations in Two Variables

A New Approach to Solve Simultaneous Linear Diophantine Equations in Two Variables


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Authors

  • Dereje Tigabu Muluneh Department of Mathematics, Debark University, Debark, Ethiopia

Keywords:

Diophantine equation, a system of linear Diophantine equations, greatest common divisor(gcd), integer solution

Abstract

In this paper, we describe a new approach for solving simultaneous linear Diophantine equations in two variables. We also introduce a new theorem that computes the solution of simultaneous linear Diophantine equations in two variables and proved theorem with an elaborated example. The theorem also helps to decide the existence of integer solutions to the simultaneous linear Diophantine equations in two variables.

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Published

15-09-2020

How to Cite

Dereje Tigabu Muluneh. (2020). A New Approach to Solve Simultaneous Linear Diophantine Equations in Two Variables: A New Approach to Solve Simultaneous Linear Diophantine Equations in Two Variables. International Journal of Mathematics And Its Applications, 8(3), 211–215. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/146

Issue

Vol. 8 No. 3 (2020)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.