Matematika

Pertanyaan

Jika 4x+2y=2 dan 7x+4y=2,maka nilai 2x+5y=…

2 Jawaban

  • Bab Sistem Persamaan Linear Dua Variabel

    4x + 2y = 2 [×2]
    7x + 4y = 2 [×1]

    8x + 4y = 4
    7x + 4y = 2
    _________ -
    x = 2

    4x + 2y = 2
    4(2) + 2y = 2
    2y = 2 - 8
    y = -6/2
    y = -3

    2x + 5y
    = 2(2) + 5(-3)
    = 4 + (-15)
    = -11
  • 4x + 2y = 2 | ×2.
    7x + 4y = 2 | × 1.

    8x + 4y = 4.
    7x + 4y = 2.
    ________-
    x = 2.

    8x + 4y = 4.
    4y = 4 - 8x.
    4y = 4 - 8(2).
    4y = 4 - 16.
    4y = -12.
    y = -12/4.
    y = -3.

    = 2x + 5y.
    = 2(2) + 5(-3).
    = 4 + (-15).
    = -11.

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