The article examines the comparisons of execution time between Gauss Elimination and Gauss Jordan Elimination Methods for solving structure of linear equations. It tends to compute unknown variables in linear system. Various types of linear equations have been solved with the help of Gauss Jordan and Gauss Elimination methods using computer program developed in Java Programming language. Numbers of operations drawn in the solutions of linear simultaneous equations have also been calculated. This paper also overtly reveals that the two said methods could be applied to diverse systems of linear equations arising in fields of study like Business, Economics, Physics, Chemistry, etc.

This paper has a propensity to appraise the performance comparison between Gauss Elimination and Gauss Jordan sequential algorithm for solving system of linear equations. Further it has the potential to develop these methods in parallel.