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    Simultaneous Linear Equations.

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    3. (a) Solve the following systems of equations

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

    ii)
    4 x+ -3 y+ z = - 1
    -3 x+ y+ -5 z = 0
    -5 x -4 z = 0

    iii)
    x1 + x2 + x3 = 3
    -3 x1 -17 x2 + x3 + 2 x 4 = 1
    4 x -7 x2 + 8 x3 -5 x4 = 1
    -5 x2 -2 x3 + x4 = 1

    (b) Find the values of k for which the attached system of simultaneous equations has a unique solution.

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

    Find the solution when k = 6

    Please see attached file for complete details.

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    https://brainmass.com/math/linear-algebra/solving-simultaneous-linear-equations-28648

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    Solution Summary

    The solution solves a set of simultaneous linear equations.

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