Matematika

Pertanyaan

No. 3.6.8.dan10 tolong ya
Pake cara linear 1 variabel yg lengkap
No. 3.6.8.dan10 tolong ya Pake cara linear 1 variabel yg lengkap

1 Jawaban

  • 3.
    ½ (p - 3) + ⅔ (3p + 6) = 15
    ½p - 3/2 + 2p + 4 = 15
    ½p + 4/2 p - 3/2 + 8/2 = 15
    5/2 p + 5/2 = 15
    5/2 p = 30/2 - 5/2
    5/2 p = 25/2
    5p = 25
    p = 25/5
    p = 5

    6.
    ⅔ (2x + 3) = 6
    4/3 x + 2 = 6
    4/3 x = 6 - 2
    4/3 x = 4
    x = 4 : 4/3
    x = 4 x ¾
    x = 3

    8.
    (2y - 3)/2 + (5y + 4)/4 = 4
    { 4 (2y - 3) + 2 (5y + 4) } / 8 = 4
    4 (2y - 3) + 2 (5y + 4) = 4 x 8
    8y - 12 + 10y + 8 = 32
    18y - 4 = 32
    18y = 32 + 4
    18y = 36
    y = 36/18
    y = 2

    10.
    (2x - 3)/2 = 4 + (5x + 6)/4
    (2x - 3)/2 = 16/4 + (5x + 6)/4
    (2x - 3)/2 = (16 + 5x + 6)/4
    (2x - 3)/2 = (5x + 22)/4
    4 (2x - 3) = 2 (5x + 22)
    8x - 12 = 10x + 44
    8x - 10x = 44 + 12
    -2x = 56
    x = 56/-2
    x = -28