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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 equations that has no solutions

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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

an algebraic method where one equation is solved for one variable in terms of the other

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elimination method

an algebraic method where you eliminate one of the variables by adding or subtracting the equations

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system of inequalities

two or more inequalities

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feasible region

the intersection of the graphs

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bounded

when the graph of a system of constraints is a polygonal region

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vertices

where the maximum or minimum value of a related function always occur

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unbounded

when a system of inequalities forms a region that is open

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linear programming

the process of finding 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 3 variables x, y, and z; written as (x,y,z)

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