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27 October, 02:53

9x+2y-27z=-155 - 11x-y+37z=208 19x+6y-52z=-304

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  1. 27 October, 05:27
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    (x, y, z) = (-2, - 1,5)

    Step-by-step explanation:

    9x+2y-27z=-155 (1)

    -11x-y+37z=208 (2)

    19x+6y-52z=-304 (3)

    (1) * 3; (2) * 6; (3) * 1, you have

    27x+6y-81z=-465 (1)

    -66x-6y+222z=1248 (2)

    19z+6y-52z=-304 (3)

    (1) + (2), you have

    -39x+141z = 783 (4)

    (4) / 3, you have

    -13x + 47z=261 (4)

    (2) + (3), you have

    -47x+170z=944 (5)

    From (4) and (5), you have equations

    -13x + 47z=261 (4)

    -47x+170z=944 (5)

    (4) * (-47); (5) * 13, you have

    611x-2209z=-12,267 (4)

    -611x+2210z=12,272 (5)

    (4) + (5), you have

    z=5

    Replace z=5 in (4), you have

    611x - 2209*5=-12,267

    611x - 11,045 = -12,267

    611x=-1222

    x = - 2

    Replace x=-2, z=5 in (1), you have

    9 * (-2) + 2y - 27*5=-155

    -18+2y-135=-155

    -18+2y=-20

    2y=-2

    y=-1

    Result (x, y, z) = (-2, - 1,5)
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