Solving System of Equations Vocabulary

the coordinates of a point in space OR the solution to a system of equations in three variables x, y, and z

• ordered triple

• vertex

• linear programming

a set of equations with the same variables

• system of equations

• system of inqualities

• consistent system

a system of equations that has at least one solution

• consistent system

• dependent system

• inconsistent system

Method for solving systems of equations in which one equation is solved for one of the variables. Then, this solution is substituted into the other equation and solved for other variable.

• elimination

• function

• order of operations

• substitution

Two or more linear equations, same variables, like x and y.

• solutions

• system of linear equations

• linear inequality

• independent system

Method for solving a system of linear equations that involves eliminating (zero out) one variable.

• substitution

• elimination

• solution

• inequality

Represents ALL solutions of a system; part of the coordinate plane; ordered pairs in this area are solutions to the inequalities in the system.

• boundary line

• parallel line

• consistent systems

• solution region

Consist of two or more linear equations that have the same variables.

• Linear System

• Function Notation

• Direct Variation

• Literal Equation

An ordered pair that satisfies all of the equations in a linear system. The intersection point where the lines cross.

• Linear system

• Solution of a system of linear equations

• Elimination Method

• Substitution Method

A method used to solve systems of equations in which one variable is elimnated by adding or subtraction two equations of the system and solving for the variable.

• Elimination Method

• Substitutuion Method

• Graph of a system of Linear equations in two variables.

• Solution of a system of linear equations