Matematika

Pertanyaan

tolong dijawab no 33-35
pake jalan cara
tolong dijawab no 33-35 pake jalan cara

1 Jawaban

  • 33. 5x - 4y = -1 → ×2
    10x + 2y = 3 → ×1
    __________
    10x - 8y = -2
    10x + 2y = 3
    __________ -
    -10y = -5
    y = -5 / -10
    y = ½
    5x - 4y = -1
    5x - (4×½) = -1
    5x - 2 = -1
    5x= -1 + 2
    5x = 1
    x = 1/5 → (D) ←

    34. 3x + y = -2 → ×3
    -2x + 3y = 5 → ×1
    __________
    9x + 3y = -6
    -2x + 3y = 5
    __________ -
    11x = -11
    x = -11 / 11
    x = -1
    3x + y = -2
    (3×-1) + y = -2
    -3 + y = -2
    y = -2 + 3
    y = 1
    Maka, x - y = (-1) - 1 = -2 (A)

    35. 3x + y = -7 → ×2
    2x - 3y = 10 → ×3
    _________
    6x + 2y = -14
    6x - 9y = 30
    _________ -
    11y = -44
    y = -44 / 11
    y = -4
    3x + y = -7
    3x + (-4) = -7
    3x = -7 + 4
    3x = -3
    x = -3 / 3
    x = -1
    Maka, himpunannya = D. {(-1, -4)}