solve for x and y x+y/ху=1 and x-y/xy = 5

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solve for x and y x+y/ху=1 and x-y/xy = 5

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Euphemia 4 years 2021-08-15T20:49:10+00:00 1 Answers 6 views 0

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  1. linhdan
    0
    2021-08-15T20:50:29+00:00
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    Answer:

    (x, y) = (-1/2, 1/3)

    Step-by-step explanation:

    Given the simultaneous equation

    x+y/ху=1. …1

    x-y/xy = 5 …. 2

    From 1; x+y = xy …3

    From 2; x – y = 5xy …4

    Substituting 3 into 4

    x – y = 5(x+y)

    x – y = 5x + 5y

    x – 5x = 5y + y

    -4x = 6y

    -2x = 3y

    x = -3y/2 … 4

    Add 3 and 4

    2x = 6xy

    2 = 6y

    y = 2/6

    y = 1/3

    x = -3(1/3)/2

    x = -1/2

    Hence (x, y) = (-1/2, 1/3)

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