A system of linear equations consists of two or more linear equations that share the same variables. The goal is to find the values of these variables that satisfy all equations simultaneously. For example, in a system with two equations, the solution is the point where their graphs intersect. There are several methods to solve systems of linear equations, including graphing, substitution, and elimination. The solutions can be unique, infinitely many, or nonexistent, depending on the relationship between the equations. Systems of linear equations are widely used in various fields, including mathematics, engineering, and economics.