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# Math: Linear Systems

### Algebra II - Sections 3.1 - 3.5

Question | Answer |
---|---|

Two or more equations with the same variables. | Systems of Equations |

A system with at least one solution. | Consistant |

A system that has no solutions. (i.e. Parallel lines.) | Inconsistant |

A system with exactly one solution. | Independent |

A system with an infinite number of solutions. (i.e. When each equation in the system makes the same line.) | Dependent |

The method of solving a system in which one equation is solved for one variable in terms of the other. | Substitution Method |

The method of solving a system by eliminating one variable in the system by adding or subtracting the equation. | Elimination Method |

Two or more inequalities with the same variables. | System of Inequalities |

Conditions given to variables, often expressed as linear inequalities. | Constraints |

The intersection of the graphs in a system of constraints. | Feasible Region |

A regions 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 in space. 2. The solution of a system of equations in three variables (x, y, and z.) | Ordered Triple |

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Zira361