Matematika

Pertanyaan

Please bantuin no 9 dan 10


Thanks....
Please bantuin no 9 dan 10 Thanks....

1 Jawaban

  • 9) 2x - y + z = 7
    - x - 2y + z = 6
    ---------------------(-)
    3x + y = 1 ... pers 1

    - x - 2y + z = 6
    4x - 2y - z = 5
    ---------------------(+)
    3x - 4y = 11 ... pers 2

    pers 1 & 2
    3x + y = 1
    3x - 4y = 11
    -----------------(-)
    5y = - 10
    y = - 2

    subtitusi
    3x + y = 1
    3x - 2 = 1
    3x = 1 + 2
    3x = 3
    x = 1

    subtitusi
    2x - y + z = 7
    2(1) - (-2) + z = 7
    2 + 2 + z = 7
    4 + z = 7
    z = 7 - 4
    z = 3

    nilai x² + y² + z²
    = ( 1 )² + ( - 2)² + (3)²
    = 1 + 4 + 9
    = 14 ( C )



    10) x + y + 2z = 1
    4x + 2y + z = 4 |×2
    maka
    x + y + 2z = 1
    8x + 4y + 2z = 8
    ------------------------(-)
    - 7x - 3y = - 7 ... pers 1

    x + y + 2z = 1
    9x + 3y + z = 17 |×2
    maka
    x + y + 2z = 1
    18x + 6y + 2z = 34
    ----------------------------(-)
    - 17x - 5y = - 33 ... pers 2

    - 7x - 3y = - 7 |×5
    - 17x - 5y = - 33 |×3
    maka
    - 35x - 15y = - 35
    - 51x - 15y = - 99
    -------------------------(-)
    16x = 64
    x = 4

    subtitusi
    - 7x - 3y = - 7
    - 7(4) - 3y = - 7
    - 28 - 3y = - 7
    - 3y = - 7 + 28
    - 3y = 21
    y = - 7

    subtitusi
    x + y + 2z = 1
    4 - 7 + 2z = 1
    - 3 + 2z = 1
    2z = 1 + 3
    2z = 4
    z = 2

    nilai x + y + z
    = 4 + ( - 7 ) + 2
    = - 1 ( B )