Systems of linear equations have numerous applications in various fields. Here are some examples:
Economics: Linear equations are used to model supply and demand in market analysis. For example, the equilibrium price and quantity of a product can be determined by solving a system of linear equations.
Engineering: Systems of linear equations are widely used in engineering to solve optimization and design problems. For instance, engineers can determine the optimal allocation of resources in a manufacturing process by formulating and solving a system of linear equations.
Physics: Linear equations can be used to analyze physical motions and interactions. Equations of motion, such as those derived from Newton's laws, can be represented as systems of linear equations and solved to determine the behavior of objects in motion.