Matematika

Pertanyaan

tolongg dongg bantuuu
tolongg dongg bantuuu

1 Jawaban

  • a) y = x + 5
    2x + y = 17
    2x + x + 5 = 17
    3x + 5 = 17
    3x = 17 - 5
    3x = 12
    x = 4
    y = x + 5
    y = 4 + 5
    y = 9
    hp = {4,9}

    b) x = 6 - y
    3x - y = 6
    3(6 - y) - y = 6
    18 - 3y - y = 6
    18 - 4y = 6
    - 4y = 6 - 18
    - 4y = - 12
    y = 3
    x = 6 - y
    x = 6 - 3
    x = 3
    hp = (3,3)

    c) 2y = x - 8
    x + 2y = 10
    x + x - 8 = 10
    2x - 8 = 10
    2x = 10 + 8
    2x = 18
    x = 9
    2y = x - 8
    2y = 9 - 8
    2y = 1
    y = ½
    hp = {9,½)

    d) 3y = 4x + 7
    9x - 6y + 8 = 0
    9x - (2 . 3y) + 8 = 0
    9x - 2(4x + 7) + 8 = 0
    9x - 8x - 14 + 8 = 0
    x - 6 = 0
    x = 6
    3y = 4x + 7
    3y = 4(6) + 7
    3y = 24 + 7
    3y = 31
    y = 31/3
    hp = {6 , 31/3}

    e) 5x = 2 - y
    15x + 4y - 11 = 0
    (3 . 5x) + 4y - 11 = 0
    3(2 - y) + 4y - 11 = 0
    6 - 3y + 4y - 11 = 0
    6 + y - 11 = 0
    y - 5 = 0
    y = 5
    5x = 2 - y
    5x = 2 - 5
    5x = - 3
    x = - ³/5
    hp = {- 3/5 , 5}

    f) 2y - x = 7
    2y = x + 7
    x + 2y = 21
    x + x + 7 = 21
    2x + 7 = 21
    2x = 21 - 7
    2x = 14
    x = 7
    2y = x + 7
    2y = 7 + 7
    2y = 14
    y = 7
    hp = {7,7}

    g) x + y = 9
    2x + 1 = x + y
    2x + 1 = 9
    2x = 9 - 1
    2x = 8
    x = 4
    x + y = 9
    4 + y = 9
    y = 9 - 4
    y = 5
    hp = {4,5}

    h) x - y = y
    2(x - y) + y = 15
    2(y) + y = 15
    2y + y = 15
    3y = 15
    y = 5
    x - y = y
    x - 5 = 5
    x = 5 + 5
    x = 10
    hp = (10,5)