Matematika

Pertanyaan

tentuakan spltv dari 2x-y+2z=-1. 3x+2y-z=10. -4x-y-3z=-3

1 Jawaban

  • 2x - y + 2z = - 1
    3x + 2y - z = 10
    - 4x - y - 3z = - 3

    2x - y + 2z = - 1
    - y = - 1 - 2x - 2z
    y = 2x + 2z + 1

    3x + 2y - z = 10
    3x + 2(2x + 2z + 1) - z = 10
    3x + 4x + 4z + 2 - z = 10
    7x + 3z = 10 - 2
    7x + 3z = 8

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

    7x + 3z = 8|× 5
    - 6x - 5z = - 2|× 3

    35x + 15z = 40
    - 18x - 15z = - 6
    ___________+
    17x = 34
    x = 2

    7x + 3z = 8
    14 + 3z = 8
    3z = 8 - 14
    3z = - 6
    z = - 2

    y = 2x + 2z + 1
    y = 4 - 4 + 1
    y = 1

    Maaf Kalau Salah

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