On Solving General Linear Equations in the Set of Natural Numbers

Florentin Smarandache

On Solving General Linear Equations in the Set of Natural Numbers

General Mathematics 2007-05-23 v1

Authors: Florentin Smarandache

Abstract

In this paper one shows if the number of natural solutions of a general linear equation is limited or not. Also, it is presented a method of solving the Diophantine equation $ax-by=c$ in the set of natural numbers, and an example of solving in $N$ a Diophantine equation with three variables.

Keywords

linear equations natural numbers Diophantine equation number of solutions solving method

Cite

@article{arxiv.0705.0191,
  title  = {On Solving General Linear Equations in the Set of Natural Numbers},
  author = {Florentin Smarandache},
  journal= {arXiv preprint arXiv:0705.0191},
  year   = {2007}
}

Comments

4 pages

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