Matematika

Pertanyaan

Dik: Persamaan =2x -5y+12=0 dan
5x -2y+9=0
Dit: Nilai 3x - 4y
A.14
B.11
C.-11
D.-14

2 Jawaban

  • Jawabannya:

    2x-5y=12 |×2|
    5x-2y=9 |×5|

    4x-10y= 24
    25x-10y= 45
    ----------------- -
    -21x = -21
    x = -21/-21
    x = 1

    2x-5y= 12 |×5|
    5x-2y= 9 |×2|

    10x-25y= 60
    10x-4y= 18
    -------------------
    21y = 42
    y = 42/21
    y = 2

    Maka:
    3x-4y
    = 3(-1) - 4(2)
    = -3 - 8
    = -11 → Opsi C

    # Semoga Membantu
    Mohon dikoreksi lagi
  • Pakai cara eliminasi
    2x - 5y + 12 = 0
    2x - 5y = -12 (dikali 5)

    5x - 2y + 9 = 0
    5x - 2y = -9 (dikali 2)

    10x - 25y = -60
    10x - 4y = -18 –
    --------------------------
    -21y = -42
    y = 2

    2x - 5y = -12
    2x - 5(2) = -12
    2x - 10 = -12
    2x = -12 + 10
    x = -1

    ditanya : 3x - 4y = ...?
    3(-1) - 4(2)
    = -3 - 8
    = -11

    jawabannya yang c

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