Linear systems vcb.
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 with at least one solution
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inconsistent | a system of equations with no solutions
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independent | a consistent system of equations with exactly one solution
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dependent | a consistent system of equations with an infinite number of solutions
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substitution method | an algebraic method in which one equation is solved for one variable in terms of the other. Then, this expression is substituted for the variable in the other equation.
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elimination method | an algebraic method in which you eliminate one of the variables by adding or subtracting the equations.
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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 maximum or minimum 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
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Created by:
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