Matematika

Pertanyaan

Saya tamatan SDN....
Pertanyaan::
1.Kucing (....) kg + kelinci (...) kg=10kg
2.kucing (....) kg + kambing (...) kg=24kg
3.kelinci (...) kg + kambing (...) kg=20
Berapah kg ketiga hewan tersebut jika kita kumpulkan= (....) kg
Kucing (..) kg+kelinci (..) kg+kambing (..) kg= (...) kg

2 Jawaban

  • misalkan
    kucing = x
    kelinci = y
    kambing = z

    maka
    x + y = 10
    x + z = 24
    y + z = 20

    x + y + z = ?

    x + y = 10
    x = 10 - y

    Substitusikan
    x + z = 24
    10 - y + z = 24
    -y + z = 14

    Eliminasi
    -y + z = 14
    y + z = 20
    ------------------- +
    2z = 34
    z = 17

    y + z = 20
    y + 17 = 20
    y = 3

    x = 10 - y
    x = 10 - 3
    x = 7

    x + y + z = 7 + 3 + 17 = 27 kg

    jadi
    Kucing 7 kg + kelinci 3 kg + kambing 17 kg = 27 kg
  • SISTEM PERSAMAAN LINEAR TIGA VARIABEL

    [tex]\text{Misal Kucing = x , Kambing = y , Kelinci = z}\\\\\text{x + z = 10}\\\text{x + y = 24}\\\text{y + z = 20}\\\\\text{Eliminasi Pers I dgn II}\\\text{x + z = 10}\\\text{x + y = 24}\\\text{|||||||||| (-)}\\\text{y - z = 14}\\\\\text{Eliminasi lagi,,,}\\\text{y + z = 20}\\\text{y - z = 14}\\\text{|||||||||| (-)}\\\text{2z = 6}\\\text{z = 3 kg}\\\text{Kelinci = 3 kg}\\\\\text{Substitusi ...}\\\text{y = 14 + 3 = 17 kg}\\\text{Kambing = 17 kg}\\\\\text{Kucing = 24 - 17 = 7 kg}\\[/tex]

    [tex]\boxed{\boxed{\,\text{Kucing + Kambing + Kelinci = 7 + 17 + 3 = 27 kg}}}[/tex]

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