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DOI:  https://doi.org/10.36719/2663-4619/116/87-89

Samira Huseynova

Azerbaijan University

https://orcid.org/0009-0005-8365-3828

samira.huseynova@au.edu.az

 

Solving Problems Using Systems of Equations: Algorithms and Strategies

 

Abstract

 

Systems of equations are a fundamental tool in mathematics and applied sciences for solving a wide range of problems. These systems model the relationships between multiple variables, allowing the identification of appropriate solutions. The available algorithms and strategies vary depending on whether the system is linear or nonlinear. For linear systems, classical methods such as Gaussian elimination, Cramer’s rule, and matrix methods are commonly used. Nonlinear systems, on the other hand, are typically solved using iterative methods, graphical approaches, and numerical techniques. These strategies are essential in various fields, including engineering, economics, physics, and computer science, where they support effective decision-making. Thus, selecting the appropriate algorithm and strategy for solving systems of equations is crucial for achieving optimal outcomes, depending on the nature of the problem.

Keywords: systems of equations, linear equations, nonlinear equations, matrix method, algorithm, strategy, mathematical modeling

 


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