Solving 3 variable systems of equations by elimination

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  1. Solving Three Variable Systems of Equations by Elimination – (Easy)

    Solve the following system of equations by elimination:

    x4y+z=12x - 4y + z = -12

    x+3yz=6x + 3y - z = 6

    2x2y+z=52x - 2y + z = 5

    1. Solving Three Variable Systems of Equations by Elimination – (Medium)

      Solve the following system of equations by elimination:

      4x3y+2z=204x - 3y + 2z = 20

      2x4y+3z=3-2x - 4y + 3z = 3

      x+yz=2x + y - z = 2

      1. Solving Three Variable Systems of Equations by Elimination – (Hard)

        Solve the following system of equations by elimination:

        x+4y+7z=109x + 4y + 7z = 109

        4x5y+4z=294x - 5y + 4z = -29

        5x+yz=105x + y - z = 10

        Topic Notes
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        The idea of elimination is to convert 3 equations with 3 variables to 2 equations with 2 variables, then to 1 equation with 1 variable.