Matematika

Pertanyaan

Sistem persamaan 2 per x tamabh 3 perx =5 dan 3 perx dikurang 4per x =16 nilai x0 y0?

1 Jawaban

  • mungkin per x dan per y kali
    2/x + 3/y = 5
    3/x - 4/y = 16
    misalkan 1/x = p
    1/y = q
    2p + 3q = 5 |×3| ---> 6p + 9q = 15
    3p - 4q = 16 |×2| ---> 6p - 8q = 32
    eliminasi -----------> ------------------- _
    17q = -17
    q = -1
    2p + 3(-1) = 5
    2p - 3 = 5
    2p = 5 + 3
    p = 8/2 = 4

    1/x = p
    1/x = 4
    x = 1/4
    1/y = q
    1/y = -1
    y = -1
    x + y = 1/4 + (-1) = 1/4 - 1 = 1/4 - 4/4 = -3/4

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