System of linear equations is a mathematical concept that refers to a set of one or more equations that involve linear functions. In basic terms, it entails a collection of linear equations that require solving simultaneously. Other synonyms for the word system of linear equations include linear systems, coupled equations, and simultaneous equations. Linear systems comprise more than one linear equation, hence the term simultaneous equations. These equations may have numerous variables and one solution or several solutions. Linear systems play a vital role in mathematics, science, economics, and engineering, among other fields. They are often used to solve real-world problems and predict future outcomes.