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30 July, 03:34

X+y-z=5 - x-4y-8z=6 3x+5y-4z=-20

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  1. 30 July, 07:03
    0
    x = 24.48, y = - 15.52, z = 3.95 to the nearest hundredth.

    Step-by-step explanation:

    x+y-z=5 (a)

    -x-4y-8z=6 (b)

    3x+5y-4z=-20 (c)

    Adding equations a and b:

    -3y - 9z = 11 (d)

    Now multiply equation b by 3:

    -3x - 12y - 24z = 18 (e)

    Adding c and e:

    -7y - 28z = - 2 (f) Multiply by 3 to give (g)

    -3y - 9z = 11 (b) Multiply by - 7 to give (h)

    -21y - 84z = - 6 (g)

    21y + 63z = - 77 (h) Adding g and h:

    -21z = - 83

    z = 3.952

    and y is found bt substituting in equation d:

    -3y - 9 (3.952) = 11

    y = (11 + 9 (3.952) / - 3

    = - 15.52.

    Now find x by substituting for y an z in equation a:

    x - 15.52 - 3.952 = 5

    x = 5 + 15.52 + 3.952

    = 24.476.
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