Linear systems

A linear system is a set of equations where each equation describes a straight-line relationship among variables. These systems involve variables combined using addition, subtraction, and multiplication by constants, without exponents or nonlinear functions. Solving a linear system means finding the values of variables that satisfy all the equations simultaneously. For example, determining how quantities like cost, time, or distance relate when combined linearly. These systems are fundamental in fields like engineering, economics, and science, providing practical ways to model and analyze real-world situations with predictable, proportional relationships.