Matematika

Pertanyaan

Nilai y yang memenuhi sistem persamaan
2x+y-z=5
3x-2y+z=-4
X+3y-3z=10
Adalah...

1 Jawaban

  • 2x + y - z = 5
    3x - 2y + z = - 4
    x + 3y - 3z = 10

    x + 3y - 3z = 10
    x = 10 - 3y + 3z

    2x + y - z = 5
    2(10 - 3y + 3z) + y - z = 5
    20 - 6y + 6z + y - z = 5
    - 5y + 5z = 5 - 20
    - 5y + 5z = - 15

    3x - 2y + z = - 4
    3(10 - 3y + 3z) - 2y + z = - 4
    30 - 9y + 9z - 2y + z = - 4
    - 11y + 10z = - 4 - 30
    - 11y + 10z = - 34

    - 5y + 5z = - 15|× 2
    - 11y + 10z = - 34|× 1

    - 10y + 10z = - 30
    - 11y + 10z = - 34
    ____________ —
    y = 4

    Jadi, Nilai y = 4


Pertanyaan Lainnya