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# Linear Systems vocab

### Linear Systems

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 equation that has no variables. |

Independent | A consistent system that has exactly one solution. |

Dependent | A consistent system that has an infinite number of solutions. |

Substitution Method | A method for solving linear systems in which when solving for one variable, you substitute it in for the other equation to solve for the other variable. |

Elimination Method | A method for solving linear systems in which one eliminates one variable to solve for the other variable, then using that to solve for the one that was just eliminated. |

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 minimum or maximum 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 | The solution of a system of equations in three variables, x, y, and z. |

Octants | Regions where three coordinate planes intersect. |

Created by:
Jcorum