Matematika

Pertanyaan

Nilai 5a+b+2c dari sistem persamaan 2a-b-6=0 2b+3c-4=0 3a-c-8=0

1 Jawaban

  • Eliminasi B
    2a - b - 6 = 0 (dikali 2) 4a - 2b - 12
    2b + 3c - 4 = 0 (dikali 1) 2b + 3c - 4
    (kedua persamaan dijumlahkan)
    4a - 2b + 2b + 3c - 12 - 4 = 0
    4a + 3c - 16 = 0

    Eliminasi C
    4a + 3c - 16 = 0 (dikali 1) 4a + 3c -16 =0
    3a - c - 8 = 0 (dikali 3) 9a - 3c - 24 = 0
    (kedua persamaan dijumlahkan)
    13a - 40 = 0
    13a = 40
    a = 40/13 >>>>>>>>> nilai a

    2a - b - 6 = 0
    2(40/13) - b - 6 = 0
    80/13 - 6 = b
    (80-78)/13 = b
    2/13 = b >>>>>>>> nilai b

    3a - c - 8 = 0
    3(40/13) - c - 8 = 0
    (120-104)/13 = c
    16/13 = c >>>>>>>>> nilai c

    5a+b+2c
    = 5(40/13) + 2/13 + 2(16/13)
    = (200 + 2 + 32)/13
    = 234/13
    = 18

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