Solving 3 variable systems of equations (no solution, infinite solutions)

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Examples
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  1. System of Equations With No Solution

    Solve the following system of equations:

    2x3y+z=32x - 3y + z = 3

    6x12y+4z=86x - 12y + 4z = 8

    3x+6y2z=6-3x + 6y - 2z = 6

    1. System of Equations With Infinite Solutions

      Solve the following system of equations:

      x+6y7z=2x + 6y - 7z = -2

      2x+12y14z=42x + 12y - 14z = -4

      4x+24y28z=84x + 24y - 28z = -8

      1. System of Equations With Infinite Solutions - Extended

        Solve the following system of equations:

        x2y+z=3x - 2y + z = 3

        3x6y+3z=93x - 6y + 3z = 9

        2x+5yz=62x + 5y - z = -6