Matematika

Pertanyaan

Tentukan nilai x,y,dan z dari persamaan
2x+3y-z = 20;
3x+2y+z = 20;
x+4y+2z= 15?

tolong dijawab dgn caranya yaa

1 Jawaban

  • 2x+3y-z = 20
    3x+2y+z = 20
    __________ +
    z = 0

    2x + 3y - (0) = 20
    2x + 3y = 20

    x + 4y + 2z = 15
    x + 4y + 2(0) = 15
    x + 4y = 15

    2x + 3y = 20| x1
    x + 4y = 15 | x2
    _____________
    2x + 3y = 20
    2x + 8y = 30
    __________ -
    - 5y = - 10
    y = 2

    2x + 3y = 20
    2x + 3(2) = 20
    2x + 6 = 20
    2x = 14
    x = 7

    3x + 2y + z = 20
    3(7) + 2(2) + z = 20
    21 + 4 + z = 20
    25 + z = 20
    z = 20 - 25
    z = - 5

    Hp : {7, 2, -5}

Pertanyaan Lainnya