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Linear System Vocab
| Question | Answer |
|---|---|
| Two or more equations with the same variable. | system of equations |
| A system of equations that has at least one solution. | consistent |
| A system of equations that has no solutions. | inconsistent |
| A system that has one exactly one solution. | independent |
| A system that has an infinite number of solutions. | dependent |
| A method of solving a system of equations in which one equation is solved for one variable in terms of the other. | substitution method |
| Eliminate one of the variables in a system of equations by adding or subtracting the equations. | elimination method |
| A set of inequalities with the same variables. | system of inequalities |
| Conditions giving to variables, often expressed as linear inequalities. | constraints |
| The intersection of the graphs in a system of constraints. | feasible region |
| A region is bounded when the graph of a system of constraints is a polygonal region. | bounded |
| The maximum or minimum value that a linear function has for the points in a feasible region. | vertices |
| A system of inequalities that forms a region that is open. | unbounded |
| The process of finding the maximum or minimum values of a function for a region defined by inequalities. | linear programming |
| 1.The coordinates of a point space. 2. The solution of a system of equations in three variables x, y, and z. | ordered triple |