Solving 3 variable systems of equations by elimination

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Now Playing:Solving 3 variable systems of equations by elimination– Example 1
Examples
  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

    Determining number of solutions to linear equations
    Notes

    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.