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    How to solve simultaneous equations in 3 variables

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    The method shows one how to solve 3 simultaneous equations as below for x, y, z

    Problem is to the solve the following simultaneous equations

    22x + 5y + 7z = 12 (1)

    10x + 3y + 2z = 5 (2)

    9x + 2y + 12z = 14 (3)

    © BrainMass Inc. brainmass.com October 10, 2019, 1:47 am ad1c9bdddf
    https://brainmass.com/math/basic-algebra/how-to-solve-simultaneous-equations-in-3-variables-348907

    Solution Preview

    Methodology to solve simultaneous Equations containing three variables

    Problem is to the solve the following simultaneous equations
    22x + 5y + 7z = 12 (1)

    10x + 3y + 2z = 5 (2)

    9x + 2y + 12z = 14 (3)

    From (2) we can multiply both sides by 6 to get
    60x + 18y + ...

    Solution Summary

    A detailed example showing how to solve simultaneous equations in 3 variables using addition/subtraction and substitution methods.

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