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Verified Answer :

  • x - y - z = - 8 ------- (1)
    - 4x + 4y + 5z = 7 -------- (2)
    2x + 2z = 4 --------- (3)

    From (3): x + z = 2
                          x = 2 - z --------- (4)

    Substitute (4) into (1),
    - x - y - z = - 8
    - (2-z) - y - z = - 8
    - 2 + z - y - z = -8
    - 2 - y = - 8
    2 + y = 8
    Therefore, y = 6

    Substitute y = 6 and (4) into (2),
    - 4x + 4y + 5z = 7
    - 4(2 - z) + 4(6) + 5z = 7
    - 8 + 4z + 24 + 5z = 7
    9z + 16 = 7
    9z = - 9
    Therefore, z = - 9

    Substitute z = - 9 into (4),
    x = 2 - z
    x = 2 - (-9)
    x = 2 + 9
    Therefore x = 11

    Solution:
    x = 11
    y = 6
    z = -9
sissy1979x

Answer: x=3, y=6, z=-1

Step-by-step explanation:

2x+2z=4

2x=4-2z

X=2-z

-(2-z)-y-z=-8

-2+z-y-z=-8

-2-y=-8

-2+y=-8+y

-2+8=y

6=y

-4 (2-z)+4 (6)+5z=7

-8+4z+24+5z=7

9z=8-24+7

9z=-9

Z=-1

2x+2z=4

2x+2 (-1)=4

2x-2=4+2

2x=6

X=3

x=3 y=6 z=-1

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