Matematika

Pertanyaan

2x + 3y + z = 1
X + 2y + 3z = 5
3x + y + 2z = 6
Tentukan x , y , z

1 Jawaban

  • 2x + 3y + z = 1. x1
    x + 2y + 3z = 5. x2
    ___________________
    2x + 3y + z = 1
    2x + 4y + 6z = 10
    ______________-
    -y - 5z = -9
    y + 5z = 9

    x + 2y + 3z = 5. x3
    3x + y + 2z =6. x1
    ___________________
    3x + 6y + 9z = 15
    3x + y + 2z = 6
    ______________-
    5y + 7z = 9

    y + 5z = 9. x5
    5y + 7z = 9. x1
    _______________
    5y + 25z = 45
    5y + 7z = 9
    _____________-
    18z = 36
    z = 2

    y + 5z = y + 10 = 9
    y = -1

    x + 2y + 3z = x - 2 + 6 = 5
    x +4 = 5
    x = 1

    x = 1, y = -1, z = 2

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