System of linear equations

A system of linear equations is a set of multiple equations involving the same variables. Each equation represents a straight line (in two variables) or a plane (in three variables), and solving the system means finding the specific values of the variables that satisfy all equations at once. The solution(s) can be a single set of values, multiple solutions, or none at all. These systems are fundamental in modeling real-world problems where multiple conditions or relationships need to be satisfied simultaneously, such as in engineering, economics, and science.