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Can someone please show me the Gaussian method to solve the following simultaneous equations?

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2 Answers

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  • Alan
    Lv 7
    2 years ago
    Favorite Answer

    See Image

    answer :

    x = -1

    y = 0

    z = 1

    Attachment image
  • alex
    Lv 7
    2 years ago

    x+2y=-1

    2x+z=-1

    y+2z = 2

    form the augmented matrix

    1 2 0 -1

    2 0 1 -1

    0 1 2 2

    2xRow1-Row2

    1 2 0 -1

    0 4 -1 -1

    0 1 2 2

    Row2 - 4xRow3

    1 2 0 -1

    0 4 -1 -1

    0 0 -9 -9

    --> z=1 , 4y-z=-1 --->y = 0, x+2y = -1 --->x=-1

    hence

    x=-1

    y=0

    z=1

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