Matematika

Pertanyaan

2x+y+2z=2
3x-2y-z=6
2x-y-z=3






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  • Materi : SPLTV
    Kelas : X SMA

    2x + y + 2z = 2
    3x - 2y - z = 6
    2x - y - z = 3


    2x + y + 2z = 2
    2x - y - z = 3
    ◆◆◆◆◆◆◆◆◆◆◆◆
    2y + 3z = -1

    3x - 2y - z = 6 ...... ×2
    2x - y - z = 3 ........ ×3
    ◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆
    6x - 4y - 2z = 12
    6y - 3y - 3z = 9
    ◆◆◆◆◆◆◆◆◆◆◆◆◆◆[-]
    -y + z = 3

    2y + 3z = -1 ..... ×1
    -y + z = 3 .......... ×2
    ◆◆◆◆◆◆◆◆◆◆◆◆◆◆
    2y + 3z = -1
    -2y + 2z = 6
    ◆◆◆◆◆◆◆◆◆◆◆◆◆[+]
    5z = 5
    z = 1

    -y + z = 3
    -y + 1 = 3
    -y = 3 - 1
    -y = 2
    y = -2

    2x - y - z = 3
    2x - (-2) - 1 = 3
    2x + 2 - 1 = 3
    2x + 1 = 3
    2x = 2
    x = 1

    Hp = { 1 , -2 , 1 }

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