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    codysmom99's Avatar
    codysmom99 Posts: 5, Reputation: 1
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    #1

    Oct 25, 2009, 07:36 PM
    solve by inverse
    How do you solve this system by inverses?

    x + y + z = 1
    2x + y = -2
    3y + z = 2
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    Oct 25, 2009, 07:49 PM

    I'm not familiar with the term "inverse" for solving simultaneous equations. Are you using Cramer's rule (matrices/determinants) to solve this?

    I'm assuming that this is what you mean, but I'm not sure.

    Set up a matrix from the coefficients of the three equations

    x + y + z = 1
    2x + y = -2
    3y + z = 2



    Calculate the determinate of this matrix (5, if I did it correctly).



    To solve for X, replace the first column with a vector of the numbers on the right of the equations. Divide the resulting determinant by the determinant calculated above (5)





    Replace the middle column to solve for Y



    Replace the rightmost column to solve for Z


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