Matematika

Pertanyaan

jika p=2x-y+z untuk x,y dan z merupakan penyelesaian sistem persamaan ----x+3y+3z=14 x+3y+3z=16 -2x+3y+z=7 nilai p =.....?

1 Jawaban

  • - x + 3y + 3z = 14
    x + 3y + 3z = 16
    - 2x + 3y + z = 7

    - x + 3y + 3z = 14
    x + 3y + 3z = 16
    ____________ —
    - 2x = - 2
    x = 1

    x + 3y + 3z = 16
    1 + 3y + 3z = 16
    3y + 3z = 16 - 1
    3y + 3z = 15
    y + z = 5
    y = 5 - z

    - 2x + 3y + z = 7
    - 2 + 3(5 - z) + z = 7
    - 2 + 15 - 3z + z = 7
    - 2z = 7 + 2 - 15
    - 2z = 9 - 15
    - 2z = - 6
    z = 3

    y = 5 - z
    y = 5 - 3
    y = 2

    p = 2x - y + z
    p = 2 - 2 + 3
    p = 3

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