system of linear equations
Also known as linear system, linear system of equations
collection of linear equations involving the same set of variables
AI overview
A system of linear equations is a collection of equations where each equation is linear (meaning the variables appear only to the first power and are combined by addition or subtraction) and all equations share the same variables. These systems matter because they're fundamental tools for solving real-world problems in science, engineering, and business where multiple conditions or constraints must be satisfied simultaneously.
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A linear system in three variables determines a collection of planes. The intersection point is the solution.
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. For example,