Matematika

Pertanyaan

himpunan penyelesaian dari sistem persamaan
2x+y-3z=-11
x+2y+z=4
3x-3y+2z=25
nilai x adalah

1 Jawaban

  • 2x + y - 3z = - 11
    x + 2y + z = 4
    3x - 3y + 2z = 25

    2x + y - 3z = - 11
    y = - 11 - 2x + 3z

    x + 2y + z = 4
    x + 2(- 11 - 2x + 3z) + z = 4
    x - 22 - 4x + 6z + z = 4
    - 3x + 7z = 4 + 22
    - 3x + 7z = 26

    3x - 3y + 2z = 25
    3x - 3(- 11 - 2x + 3z) + 2z = 25
    3x + 33 + 6x - 9z + 2z = 25
    9x - 7z = 25 - 33
    9x - 7z = - 8

    9x - 7z = - 8
    - 3x + 7z = 26
    __________+
    6x = 18
    x = 3

    9x - 7z = - 8
    27 - 7z = - 8
    - 7z = - 8 - 27
    - 7z = - 35
    z = 5

    y = - 11 - 2x + 3z
    y = - 11 - 6 + 15
    y = - 17 + 15
    y = - 2

    Maaf Kalau Salah

Pertanyaan Lainnya