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# Linear Systems vocab

### Linear Systems

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 equation that has no variables.
Independent A consistent system that has exactly one solution.
Dependent A consistent system that has an infinite number of solutions.
Substitution Method A method for solving linear systems in which when solving for one variable, you substitute it in for the other equation to solve for the other variable.
Elimination Method A method for solving linear systems in which one eliminates one variable to solve for the other variable, then using that to solve for the one that was just eliminated.
System of Inequalities A set 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 constraints.
Bounded A region is bounded when the graph of a system of constraints is a polygonal region.
Vertices The minimum or maximum 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.
Ordered triple The solution of a system of equations in three variables, x, y, and z.
Octants Regions where three coordinate planes intersect.
Created by: Jcorum