System of Equations

system of equations

A set of two or more equations with the same variables.

substitution

Using algebraic methods to find an exact solution of a system of equations.

solution of a system of equations

The point where the graphs of the equations intersect.

intersecting lines

Lines that meet at a single point, indicating one solution.

parallel lines

Lines that never meet, indicating no solution.

same line

Lines that coincide, indicating infinitely many solutions.

solving systems by graphing

A method of finding the solution of a system by graphing the equations.

ordered pair

A pair of numbers used to represent a point on a coordinate plane.

infinitely many solutions

Occurs when two equations represent the same line.

algebraic methods

Techniques used to solve equations, including substitution.