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# Math 113-Module 6

### Solving systems of linear equations by addition and in 3 variables

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

Another name for the addition method is the ________ method? | Elimination |

Solve for x: x+y =9 , x-y=13 | x = 11 |

Solve for y: y+x=12 , y-x=8 | y = 10 |

Solve for x: 6x-3y=-6 , -x+3y=-4 | x = -2 |

Does y=2 in the following equations? 2x+4y=1 , -2x+6y=19 | Yes, y=2 |

Solve for x: 3x+4y=13 , 5x-9y=6 | x = 3 |

What are the two methods used for solving a system of 3 equations? | elimination or substitution method |

Solve the system for x: 3x-y+z=-15 , x+2y-z=1 , 2x+3y-2z=0 | x = -4 |

What is standard form for solving by the elimination method? | Ax + By + Cz = D |

True or false: it is important to always check each solution in all of the given equations. | True |

Solve for y using the following equations: x-4y-5z=35 , x-3y=0 , -y+z=-55 | y = 40 |

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