Matematika

Pertanyaan

Tolong Bantuin dong KAK, yang nomor 3 sama nomor 4...
Tolong Bantuin dong KAK, yang nomor 3 sama nomor 4...

1 Jawaban

  • 3. 3x + 2y - z = 17
    x - 3y + z = 1
    x + y + 2z = 11

    persamaan 1 & 2

    3x + 2y - z = 17
    x - 3y + z = 1
    ___________+
    4x - y = 18 (1)

    persamaan 1 & 3

    3x + 2y - z = 17 |×2|
    x + y + 2z = 11 |×1|

    6x + 4y - 2z = 34
    x + y + 2z = 11
    _____________+
    7x + 5y = 45 (2)

    … (1) & … (2)

    4x - y = 18 |×5|
    7x + 5y = 45 |×1|

    20x - 5y = 90
    7x + 5y = 45
    ___________+
    27x = 135
    x = 5

    substitusi x = 5

    4x - y = 18
    4.5 - y = 18
    20 - y = 18
    -y = 18 - 20
    -y = -2
    y = 2

    substitusi x = 5, y = 2

    x - 3y + z = 1
    5 - 3.2 + z = 1
    z = 1 - 5 + 6
    z = 2


    4. 3x - y + z = 10
    2x + y - z = 10
    4x - 3y - 2z = 15


    persamaan 1 & 3

    3x - y + z = 10 |×2|
    4x - 3y - 2z = 15 |×1|

    6x - 2y + 2z = 20
    4x - 3y - 2z = 15
    ______________+
    10x - 5y = 35 (1)

    persamaan 2 & 3

    2x + y - z = 10 |×2|
    4x - 3y - 2z = 15 |×1|

    4x + 2y - 2z = 20
    4x - 3y - 2z = 15
    _____________-
    5y = 35
    y = 7


    substitusi y = 7

    10x - 5y = 35
    10x - 5.7 = 35
    10x = 35 + 35
    10x = 70
    x = 7


    substitusi x = 7, y = 7

    3x - y + z = 10
    3.7 - 7 + z = 10
    z = 10 - 21 + 7
    z = -4