Matematika

Pertanyaan

5x+2y=-3 dan 7x+8y=1 nilai x-y adalah
A. -2
B.-1
C. 0
D. 1

1 Jawaban

  • 5x + 2y = -3.....(pers.1)
    7x + 8y = 1......(pers.2)

    Elimimasi pers.1 dan 2
    20x + 8y = -12.......(pers.1 dikali 4)
    7x + 8y = 1...............(pers.2)
    __________ _
    13x = -13
    x = -13/13
    x = -1

    Substitusi x = -1 ke pers.1 atau 2
    7x + 8y = 1
    7 (-1) + 8y = 1
    -7 + 8y = 1
    8y = 1 + 7
    8y = 8
    y = 8/8
    y = 1

    Nilai x - y
    = x - y
    = -1 - 1
    = -2 (Opsi A)

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