Matematika

Pertanyaan

diketahui sistem persamaan 4x-y+3z=-20.....(1)
3x+y+2z = -20....(2)
2x+4y+3z =-25....(3)
jika penyelesaian SPLTV tersebut (a,b,c)nilai a-b-c =...
Sertakan Cara penyelesaian ya

1 Jawaban

  • 4x - y + 3z = -20
    3x + y + 2z = -20
    ______________ +
    7x + 5z = -40 .... (4)

    3x + y + 2z = -20 (×4) 》12x + 4y + 8z = -80
    2x + 4y + 3z = - 25 (×1) 》2x + 4y + 3z = - 25
    _______________ _
    10x + 5z = -55 ..... (5)
    pers (4) dan (5)
    7x + 5z = -40
    10x + 5z = -55
    ____________ _
    -3x = 15
    x = -3

    10x + 5z = -55
    10(-3) + 5z = -55
    5z = 25
    z = 5

    3x + y + 2z = -20
    3(-3) + y + 2(5) = -20
    y = -20+9-10
    y = -21
    HP { (-3,-21,5)}

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