Matematika

Pertanyaan

Tentukan x,y,z
x + y = 9
2y + 3z = 7
x - 2z = 4

1 Jawaban

  • x + y = 9
    x = 9 - y

    2y + 3z = 7

    x - 2z = 4
    9-y -2z = 4
    -y - 2z = 4 - 9
    -y - 2z = -5   

    eliminasi

    2y + 3z = 7     (x1)       2y + 3z = 7
    -y - 2z = -5      (x2)     -2y  - 4z = -10        (dijumlah)
                                              -z = -3
                                               z = 3

    2y + 3z = 7
    2y + 3(3) = 7
    2y + 9 = 7
    2y = 9 - 7
    2y = 2
      y = 1

    x + y = 9
    x + 1 = 9
    x = 9 - 1
    x = 8

    x = 8
    y = 1
    z = 3

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