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Linear System Vocab.
Question | Answer |
---|---|
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 equations that has no solutions |
Independent | a system of equations that has exactly one solution |
Dependent | A system of equations that has an infinite number of solutions |
Substitution Method | A method of solving a system of equations in which one equation is solved for one variable in terms of the other |
Elimination Menthod | Eliminate one of the variables in a system of equations by adding or subtracting the equations |
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 maximum or minimum 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 | 1.The coordinates of a point in shape 2.The solution of a system of equations in three variables x,y, and z |