Matematika

Pertanyaan

Diketahui persamaan 2x-5y+12=0 dan 5x-2y=0 nilai 3x-4y adalah

2 Jawaban

  • Kelas 8 Matematika
    Bab Persamaan Garis

    2x - 5y + 12 = 0 → dikali 5 → 10x - 25y + 60 = 0
    5x - 2y + 9 = 0 → dikali 2 → 10x - 4y + 18 = 0

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

    2x - 5y + 12 = 0
    2x - 5 . 2 + 12 = 0
    2x = -2
    x = -1

    3x - 4y 
    = 3 . (-1) - 4 . 2
    = -3 - 8
    = -11
  • Kelas 8 Matematika
    Bab SPLDV

    2x - 5y + 12 = 0 → dikali 5 → 10x - 25y + 60 = 0
    5x - 2y = 0 → dikali 2 → 10x - 4y = 0

    10x - 25y + 60 = 0
    10x - 4y = 0
    --------------------------- -
    -21y = 60
    y = 60/-21
    y = -20/7

    5x - 2y = 0
    5x - 2 . (-20/7) = 0
    5x = -40/7
    x = -8/7

    3x - 4y
    = 3 . (-8/7) - 4 . (-20/7)
    = -24/7 + 80/7
    = 56/7
    = 8

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