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29 October, 00:28

x+2y+2z=3. 2x-2y-z=3. x-2z=-5

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  1. 29 October, 00:53
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    x = 1, y = - 2, z = 3.

    Step-by-step explanation:

    x + 2y + 2z = 3 A

    2x - 2y - z = 3 B

    x - 2z = - 5 C

    If we add equations A and B we eliminate y:

    3x + z = 6 E

    Multiply E by 2:

    6x + 2z = 12 F

    Adding C and F we get:

    7x = 7

    x = 1.

    Plug this into equaton C:

    1 - 2z = - 5

    -2z = - 5 - 1 = - 6

    z = 3.

    Now plugging x = 1 and z = 3 in equation A:

    1 + 2y + 2 (3) = 3

    2y = 3 - 1 - 6 = - 4

    y = - 2.
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