Matematika

Pertanyaan

tentukan penyelesaian sistem persamaan berikut dengan metode substitusi..a.x=y dan x+y=6 b.x=y-10dan x=2y+8 c.x-2y= 2 dan 3y-5x=-24

1 Jawaban

  • a) x = y
    x + y = 6
    y + y = 6
    2y = 6
    y = 3
    x = y = 3
    hp = {3,3}

    b) x = y - 10
    x = 2y + 8
    x - 2y = 8
    y - 10 - 2y = 8
    - y = 8 + 10
    y = - 18
    x = y - 10
    x = - 18 - 10
    x = - 28
    hp = {-28,-18}

    c) x - 2y = 2
    x = 2y + 2
    3y - 5x = - 24
    3y - 5(2y + 2) = - 24
    3y - 10y - 10 = - 24
    - 7y = - 24 + 10
    y = - 14 รท - 7
    y = 2
    x = 2y + 2
    x = 2(2) + 2
    x = 4 + 2
    x = 6
    hp = {6,2}

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