Matematika

Pertanyaan

3.perhatikan sistem persamaan linier berikut
4x + 3y = 76 ... (1)
5x + 2z = 66 ... (2)
4y + 3z = 72. ...(3)

Himpunan penyelesaian dari sistem persamaan tersebut adalah

1 Jawaban

  • 4x + 3y = 76
    5x + 2z = 66
    4y + 3z =72

    4x + 3y = 76. x 5
    5x + 2z = 66. x 4

    20x + 15y = 380
    20x + 8z = 264
    _______________ _
    15y + 8z = 116. x 3
    4y + 3z. = 72. x 8
    45y + 24z = 348
    32y + 24z = 576
    ____________ _
    13y. = _ 228
    y = _228/13
    32 x _ 228/13 + 24z = 576
    _7298/13 + 24z = 576
    24z = 7488/13 + 7298/13 = 14786/13
    z = 14786/13 : 24
    z = 14786/312
    4x + 3y = 76
    4x =988/13 + 684/13
    x = 1672/13 : 4
    x = 1672/52
    jadi himpunan penyelesaian
    x = 1672/52
    y = _ 228/13
    z = 14786/312
    maaf jika salah

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