mau mau gấp gấp lắm ạ

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mau mau gấp gấp lắm ạ

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    Đáp án:

     

    Giải thích các bước giải:

     Đặt `(2x)/3 = (3y)/2 = k`

    `=> x = (3k)/2 ; y = (2k)/3`

    Mà `x . y^2 = 18`

    `=> (3k)/2 . ( (2k)/3 )^2 = 18`

    `=> (3k)/2 . (4k^2)/9 = 18`

    `=> (3k . 4k^2)/(2 . 9) = 18`

    `=> (12k^3)/18 = 18`

    `=> 12k^3 = 324`

    `=> k^3 = 27`

    `=> k^3 = 3^3`

    `=> k = 3`

    `=> x = (3 . 3)/2 = 9/2 ; y = (2 . 3)/3 = 2`

    Vậy `x = 9/2 ; y = 2`

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