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Linear Systems 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 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 Method | A method of solving a system of equations in which one of the variables is eliminated by adding or subtracting the equations. |
System of Inequalities | A system 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 equations. |
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. |
Octants | The eight regions of three-dimensional space. |
Ordered Triple | 1. The coordinates of a point in space 2. The solution of a system of equations in three variables x,y, and z. |