Решить систему уравнений: (x-y)xy=30 (x+y)xy=120

Question

Решить систему уравнений: (x-y)xy=30
(x+y)xy=120

Answer 1

(x+y)xy/(x-y)xy=120/30
(x+y)/(x-y)=4
x+y=4x-4y
3x=5y,x=5y/3
(5y/3-y)(5yˇ2/3)=30
2y/3.(5yˇ2/3)=30, 10/9yˇ3=30,yˇ3=27,y=3
x=5y/3=5
/x,y/=/5,3/