Matematika

Pertanyaan

diketahui sistem persamaan linear berikut. 2x-5y-9=0 dan 4x-3y+3=0. tentukan nilai x^2-2xy+y^2!

1 Jawaban

  • Matematika

    2x - 5y = 9 ---- (×2)
    4x - 3y = -3 --- (×1)

    4x - 10y = 18
    4x - 3y = -3
    __________-
    -7y = 21
    y = -3

    4x - 3y = -3
    4x - 3(-3) = -3
    4x = -3 - 9
    4x = -12
    x = -3

    x² - 2xy + y² = (x - y)²
    ..................... = (-3 - (-3))²
    ..................... = 0²
    ..................... = 0

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