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Math: Linear Systems

Algebra II - Sections 3.1 - 3.5

Two or more equations with the same variables. Systems of Equations
A system with at least one solution. Consistant
A system that has no solutions. (i.e. Parallel lines.) Inconsistant
A system with exactly one solution. Independent
A system with an infinite number of solutions. (i.e. When each equation in the system makes the same line.) Dependent
The method of solving a system in which one equation is solved for one variable in terms of the other. Substitution Method
The method of solving a system by eliminating one variable in the system by adding or subtracting the equation. Elimination Method
Two or more inequalities with the same variables. System of Inequalities
Conditions given to variables, often expressed as linear inequalities. Constraints
The intersection of the graphs in a system of constraints. Feasible Region
A regions is bounded when the graph of a system of constraints is a polygonal region. Bounded
The maximum or minimum value that a linear function has for the points in a feasible region. Vertices
A system of inequalities that forms a region that is open. Unbounded
The process of finding the maximum or minimum values of a function for a region defined by inequalities. Linear Programming
1. The coordinates of a point in space. 2. The solution of a system of equations in three variables (x, y, and z.) Ordered Triple
Created by: Zira361