|Definitions, Concepts, and Formulas||Examples|
A system of equations is a set of equations with common variables.
A solution of a system of equations in two variables x and y is an ordered pair of numbers that satisfies all equations in the system. The solution set of a system of two linear equations of the form is the point(s) of intersection of the graphs of the equations.
Systems with no solution are called inconsistent, and systems with at least one solution are consistent. A system of two linear equations in two variables may have one solution (independent equations), no solution (inconsistent system), or infinitely many solutions (dependent ...