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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 |

Created by:
tayylor_scott