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# Linear Systems Vocab

System of Equations Two or more equations with the same variables.
Consistent A system of equations that has at least one solution.
Inconsistent A system of equations has no solutions.
Independent A system of equations that has exactly one solution.
Dependent A system of equations that has an infinite number of solutions.
Substitution Method A method of solving a system of equations in which one equation is solved for one variable in terms of the other.
Elimination Method A method of solving a system of equations in which one of the variables is eliminated by adding or subtracting the equations.
System of Inequalities A system of inequalities with the same variables.
Constraints Conditions given to variables, often expressed as linear inequalities.
Feasible Region The intersection of the graphs in a system of equations.
Bounded A region is bounded when the graph of a system of constraints is a polygonal region.
Vertices The maximum or minimum value that a linear function has for the points in a feasible region.
Unbounded A system of inequalities that forms a region that is open.
Linear Programming The process of finding the maximum or minimum values of a function for a region defined by inequalities.
Octants The eight regions of three-dimensional space.
Ordered Triple 1. The coordinates of a point in space 2. The solution of a system of equations in three variables x,y, and z.
Created by: mwilliams97