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# Module 6

### Solving systems of Linear Equations with Addition and Three Variables

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

Add the following: 4x+2y=6 2x-2y=12 | (3,-3) |

Add the following: 3x+6y=-9 2x-6y=24 | (3,-3) |

Add the following: x-6y=-13 -x+2y=5 | (-1,2) |

Add the following: x+y=-7 x-y=-1 | (-4,-3) |

Solve the following with addition: 4x-2y+2z=12 2x-7y+2z=26 6x+15y-3z=-30 | x=3 y=-4 z=-4 (3,-4,-4) |

Are the following correct solutions for the listed problems: (-1,7,2) x-y+z=-6 4x+2y-z=8 -2x+4y-z=28 | BINGO. They are all the correct solutions |

Substitute the following numbers into the listed problems to find which are true: (-6,5,6) x-y-z=-17 -x-y+2z=3 -x-y+z=7 x-3y-2z=-33 | -17=-17 The first equation is true 13=3 The second equation is false 7=7 The third equation is true -33=-33 The fourth equation is true |

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