Matematika

Pertanyaan

jika 3a+4b=36, 2a+c=16 dan 2b+3c =36 ,maka nilai dari 5a+2b-2c adalah

1 Jawaban

  • 3a + 4b = 36... pers. 1
    2a + c = 16.... pers. 2
    2b + 3c = 36.... pers. 3

    pertama eleminasi pers 1 dan 2
    3a + 4b = 36 |×2|
    2a + c = 16 |×3|
    -----------------------
    6a + 4b = 72
    6a + 3c = 48
    -------------------- (-)
    4b - 4c = 24.... pers. 4

    eleminasi pers. 3 dan 4
    2b + 2c = 36 |×2|
    4b - 4c = 24 |×1|
    ------------------------
    4b + 4c = 72
    4b - 4c = 24
    ----------------- (-)
    8c = 48
    c = 48/8
    c = 6

    subtitusi ke 2b + 2c = 36
    2b + 2c = 36
    2b + 2.6 = 36
    2b + 12 = 36
    2b = 36-12
    2b = 24
    b = 24/2
    b = 12

    lalu subtitusi ke 2a + c = 16
    2a + c = 16
    2a + 6 = 16
    2a = 16-6
    2a = 10
    a = 10/2
    a = 5

    maka nilai dari 5a+2b-2c
    5a+2b-2c = 5.5+2.12-2.6
    = 25+24-12
    = 25+12
    = 37
    semoga bermanfaat

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