Matematika

Pertanyaan

Tolong gunakan caranya ya. Thanks
Tolong gunakan caranya ya. Thanks

1 Jawaban

  • a) y = 2x + 6
    disubtitusi ke pers :
    3x + 4y = 13
    3x + 4(2x + 6) = 13
    3x + 8x + 24 = 13
    11x = 13 - 24
    11x = - 11
    x = - 1
    subtitusi ke pers :
    y = 2x + 6
    y = 2(-1) + 6
    y = - 2 + 6
    y = 4
    hp = { - 1, 4}

    b) 6x - y = 14
    - y = - 6x + 14
    y = 6x - 14
    subtitusi ke pers :
    3x + 4y = - 2
    3x + 4(6x - 14) = - 2
    3x + 24x - 56 = - 2
    27x = - 2 + 56
    27x = 54
    x = 2
    disubtitusi ke pers :
    y = 6x - 14
    y = 6(2) - 14
    y = 12 - 14
    y = - 2
    hp = { 2 , - 2}

    c) 7x - 2y = 14
    - 2y = - 7x + 14
    2y = 7x - 14
    disubtitusi ke pers :
    3x + 4y = 10
    3x + 2(2y) = 10
    3x + 2(7x - 14) = 10
    3x + 14x - 28 = 10
    17x = 10 + 28
    17x = 38
    x = 38/17
    disubtitusi ke pers :
    2y = 7x - 14
    2y = 7(38/17) - 14
    2y = 266/17 - 238/17
    2y = 28/17
    y = 28/17 ÷ 2
    y = 28/34
    y = 14/17
    hp = { 38/17 , 14/17}

    d) y - 2x = 1
    y = 2x - 1
    disubtitusi ke pers
    4x - 5y = 13
    4x - 5(2x - 1) = 13
    4x - 10x + 5 = 13
    - 6x = 13 - 5
    - 6x = 8
    x = - 8/6
    x = - 4/3
    disubtitusikan ke pers
    4x - 5y = 13
    4(-4/3) - 5y = 13
    - 16/3 - 5y = 13
    - 5y = 13 + 16/3
    - 5y = 39/3 + 16/3
    - 5y = 55/3
    y = 55/3 ÷ - 5
    y = - 55/15
    y = - 11/3
    hp = { - 4/3 , - 11/3}