Matematika

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sistem persamaan 5x - 2y = 7 dan x - 3y = 4, berapa himpunan penyelesaiannya !

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  • 5x - 2y = 7
    x - 3y = 4

    5x - 2y = 7| x 1 | 5x - 2y = 7
    x - 3y = 4  | x 5 | 5x - 15y = 20

    5x - 2y = 7
    5x - 15y = 20
    ___________-
    -2y - (-15y) = 7 - 20
    -2y + 15y = -13
    13y = -13
    y = -13/13
    y = -1

    x - 3y = 4
    x - 3(-1) = 4
    x - (-3) = 4
    x + 3 = 4
    x + 3 - 3 = 4 - 3
    x = 1

    Himpunan Penyelesaian = {(1,-1)}

    Maaf kalau salah...

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