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Linear Systems

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
consistent system   a system of equations or inequalities that has at least one solution  
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constraint   one of the inequalities in a linear programming problem  
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dependent system   a system of equations that has infinitely many solutions  
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elimination   a method used to solve systems of equations in which one variable is eliminated by adding or subtracting two equations of the system  
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feasible region   the set of points that satisfies the constraints in a linear-programming problem  
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inconsistent system   a system of equations or inequalities that has no solution  
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independent system   a system of equations that has exactly one solution  
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linear programming   a method of finding a maximum or minimum value of a function that satisfies a given set of conditions called constraints  
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linear system   a system of equations containing only linear equations  
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subsitution   a method used to solve systems of equations by solving an equation for one variable and substituting the resulting expression into other equations  
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system of equations   a set of two or more equations that contain two or more variables  
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system of linear inequalities   a set of two or more linear inequalities containing two or more variables  
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ordered triple   a set of three numbers that can be used to locate a point in a three-dimensional coordinate system. 1st number is distance along the x-axis, 2nd number is distance along the y-axis, and the 3rd number is the distnace along the z-axis  
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