Решите систему уравнений:

xy/x+y= 5
{ xz/x+z = 7
yz/y+z = 9

Помогите СРОЧНО!!!! / - дробь

Вот накалякал. Разбирайся :)

xy/(x+y) = 5xz/(x+z) = 7yz/(y+z) = 9

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xy = 5x + 5yxz = 7x + 7zyz = 9y + 9z

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x(y-5) = 5yx = 5y/(y-5)

-----5yz/(y-5) = 35y/(y-5) + 7z5yz = 35y + 7z * (y-5)5yz = 35y + 7yz - 35z2yz + 35y = 35zy(2z + 35) = 35zy = 35z/(2z + 35) = z/(2z/35 + 1)

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35z^2/(2z + 35) = 315z/(2z + 35) + 9z35z^2 = 315z + 9z*(2z + 35)35z^2 = 315z + 18z^2 + 315z17z^2 = 630zz=630/17

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y = 35*630/(2*630/17 + 35)/17 = 35*630/(1260 + 595) = 22050/1855 = 630 / 53

x = 5*630/(630/53 - 5)/53  =  5*630/((630/53 - 5)*53) = 5*630/365 = 630/73