Matematika

Pertanyaan

tolong bantu jawab ya butuh banget
tolong bantu jawab ya butuh banget

1 Jawaban

  • 1a) x + y = 5
    2x + y = 8
    ------------------(-)
    - x = - 3
    x = 3
    x + y = 5
    3 + y = 5
    y = 5 - 3
    y = 2
    ttk potong = (3,2)

    b) x + y = 5
    x + 3y = 3
    -----------------(-)
    - 2y = 2
    y = - 1
    x + y = 5
    x - 1 = 5
    x = 5 + 1
    x = 6
    ttk potong = (6,-1)

    2a) 3x + 3y - 6 = 0
    3y = - 3x + 6
    m = - 3/3 = - 1
    c = 6

    b) 5x - y + 1 = 0
    - y = - 5x - 1
    m = - 5/-1 = 5
    c = - 1

    3) y - y1 = m (x - x1)
    y + 4 = 6 (x + 1)
    y = 6x + 6 - 4
    y - 6x = 2

    4) (y - y1) / (y2 - y1) = (x - x1) / (x2 - x1)
    (y - 5) / (3 - 5) = (x + 3) / (2 + 3)
    (y - 5) / - 2 = (x + 3) / 5
    5 (y - 5) = - 2(x + 3)
    5y - 25 = - 2x - 6
    5y + 2x = - 6 + 25
    5y + 2x = 19

    5) 2x + 5y - 1 = 0
    5y = - 2x + 1
    m = - 2/5
    syarat sejajar m1 = m2 = - 2/5
    y - y1 = m (x - x1)
    y - 3 = - 2/5 (x - 2)
    y = - 2/5 x + 4/5 + 3 (dikalikan 5 utk menghilangkan penyebut)
    5y = - 2x + 4 + 15
    5y + 2x = 19