Linear Systems
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| System of equations | Two or more equations with the same variables.
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| Consistent | A system of equations that has at least one solution.
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| Inconsistent | A system of equation that has no variables.
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| Independent | A consistent system that has exactly one solution.
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| Dependent | A consistent system that has an infinite number of solutions.
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| 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.
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| 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.
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| System of Inequalities | A set of inequalities with the same variables.
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| Constraints | Conditions given to variables, often expressed as linear inequalities.
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| Feasible Region | The intersection of the graphs in a system of constraints.
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| Bounded | A region is bounded when the graph of a system of constraints is a polygonal region.
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| Vertices | The minimum or maximum value that a linear function has for the points in a feasible region.
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| Unbounded | A system of inequalities that forms a region that is open.
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| Linear Programming | The process of finding the maximum or minimum values of a function for a region defined by inequalities.
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| Ordered triple | The solution of a system of equations in three variables, x, y, and z.
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| Octants | Regions where three coordinate planes intersect.
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Created by:
Jcorum
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