Algebra

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Use Cramer's Rule to solve each system of equations. a+b+5c=2
3a+b+2c=3
4a+2b-c=-3

  • Algebra -

    D =
    |1 1 5|
    |3 1 2|
    |4 2 -1| = 16

    Dx =
    |2 1 5|
    |3 1 2|
    |-3 2 -1| = 32

    Dy =
    |1 2 5|
    |3 3 2|
    |4 -3 -1| = -80

    Dz =
    |1 1 2|
    |3 1 3|
    |4 2 -3| = 16

    So, the solution
    (x,y,z) = (Dx/D, Dy/D, Dz/D) = (2,-5,1)

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