EXPRESSING AND SOLVING REAL-WORLD PROBLEMS USING MATHEMATICAL EQUATIONS

Abstract

Solving problems that occur in the real world using mathematical equations is an important bridge between science and practice. In various fields - such as economics, physics, engineering, biology, and even social sciences - mathematical modeling is widely used to understand, analyze, and find optimal solutions to emerging problems. In this process, real phenomena are simplified and expressed in the form of formulas, equations, or systems of equations. After that, calculations are performed on this mathematical model using different methods, results are obtained, and these results are compared with real-life situations.Expressing problems through mathematical equations not only provides a precise and logical approach but also facilitates comparison of different options, forecasting, and decision-making processes. For example, in economic processes, expressing supply and demand through equations helps determine price equilibrium, while in physics, motion equations allow prediction of the future position of objects. At the same time, since any model may not fully reflect real life, careful and critical analysis of results is required.In conclusion, expressing and solving real-world problems using mathematical equations is an integral part of modern scientific research and practical activity, playing an important role in simplifying complex processes, achieving deeper understanding, and making effective decisions.