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math

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w+x+y+z=2
2w-x-y+2z=7
2w+3x+2y-z=-2
3w-2x-y-3z=-2
solve for w, x, y, z

  • math -

    No.
    Eliminate variables one at a time, or use Kramer's method of determinants.

    Here is how to get rid of x. Add the first two equations.

    3w + 3z = 9 or
    w + z = 3

    Multiply the third equation by 2 and the fourth equation by 3, and add.
    4w + 6x + 4y - 2z = -4
    9w - 6x - 3y - 9z = -6
    13w -y - 11z = -10

    Continue in that manner until you are left with the value of one of the variables.

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