Matematika

Pertanyaan

dengan metode substitusi, tentukan siatem persamaan dengan caranya:
1) 5a +2b=5 dan 6a +b=1
2) 6s-t-2=0 dan 3s-2t +5=0
tolong bantu pake Carany terima kasih

2 Jawaban

  • 1) 5a + 2b = 5
    6a + b = 1 --------> b = 1-6a
    maka :
    5a + 2b = 5
    5a + 2(1-6a) = 5
    5a + 2 - 12a = 5
    -7a = 3
    a = - 3/7
    5a + 2b = 5
    5(-3/7) + 2b = 5
    2b = 5 + 15/7
    b = 50/7 : 2
    b = 25/7

    2) 6s-t-2 = 0 --->t=6s-2
    3s - 2t + 5 = 0
    maka :
    3s - 2t + 5 = 0
    3s - 2(6s -2) + 5 = 0
    3s - 12s + 4 + 5 = 0
    -9s = -9
    s = 1
    3s -2t +5 = 0
    3(1) -2t +5 = 0
    -2t = -5-3
    t = -8/-2
    t = -4
  • 1. 5a + 2b = 5
    6a+ b = 1 ➡ b = -6a+1

    subtitusikan 2b
    5a +2b = 5
    5a + 2(-6a+1) = 5
    5a + -12a +2 = 5
    -7a = 5-2
    -7a = -3
    a = -3/-7
    a = 3/7

    6a + b = 1
    (3/7×6) +b = 1
    18 +b = 7
    b = 7-18
    b = -11

    hp = {3/7,-11}

    2. 6s -t = 2 ➡ 6s -2 = t
    3s -2t = -5

    subtitusikan t
    3s -2t = -5
    3s -2(6s -2) = -5
    3s -12s+4 = -5
    -9s = -5-4
    -9s = -9
    s = -9/-9
    s = 1

    6s -t = 2
    (6×1)-t = 2
    -t = 2-6
    -t = -4
    t = -4/-1
    t = 4

    hp = {1,4}

Pertanyaan Lainnya