Matematika

Pertanyaan

SPLDV sistem substitusi dari x+2y=5 dan 4y-3x=0

2 Jawaban

  • x+2y=5
    x=5-2y

    4y-3x=0
    4y-3(5-2y)=0
    4y-15+6y=0
    10y=15
    y=3/2

    x=5-2y=5-2(3/2)=5-3=2
  • Persamaan (1)

    x + 2y = 5
    x = -2y + 5

    Substitusi (2)

    4y - 3x = 0
    4y - 3(2y + 5) = 0
    4y + 6y - 15 = 0
    10y = 15
    y = 15/10
    y = 3/2

    Substitusi (1)

    x + 2y = 5
    x + 2(3/2) = 5
    x + 3 = 5
    x = 5 - 3
    x = 2

    HP = {(x, y) = (2, 3/2)}

    Semoga membantu :)

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