Solution of simultaneous equations when the number of variables is greater than the number of equations
Abstract
The fundamental aim of this study is to present a methodology to obtain solutions in the case of problems involving simultaneous equations in which the number of unidentified variables is greater than the number of equations in a given system. In addition, this paper discusses core features regarding the theory of functions. As a particular element of the model presented here, a system of three variables with a single equation and a solution on those conditions is attained, using particular restrictions. The main contribution of this study exceeds the classical mathematical approach concerning the usual claim that to solve a system of simultaneous equations, the number of these equations must be equal to or greater than the number of variables to be determined. It is a contribution in the field of algebra as a generalization of arithmetic and prior to foundations belonging to differential and integral calculus.
