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![left { {{ frac{x+y-xy}{xy(x+y)} = frac{1}{2} } atop {xy(x+y)=2}} right. \
left { {{ x+y-xy = 1} atop {xy(x+y)=2}} right.\
left { {{ (x-1)(1-y)=0 } atop {xy(x+y)=2}} right.\](https://tex.z-dn.net/?f=+left+%7B+%7B%7B+frac%7Bx%2By-xy%7D%7Bxy%28x%2By%29%7D+%3D+frac%7B1%7D%7B2%7D+%7D+atop+%7Bxy%28x%2By%29%3D2%7D%7D+right.+%5C%0A+left+%7B+%7B%7B+x%2By-xy+%3D+1%7D+atop+%7Bxy%28x%2By%29%3D2%7D%7D+right.%5C%0A+left+%7B+%7B%7B+%28x-1%29%281-y%29%3D0+%7D+atop+%7Bxy%28x%2By%29%3D2%7D%7D+right.%5C "left { {{ frac{x+y-xy}{xy(x+y)} = frac{1}{2} } atop {xy(x+y)=2}} right. \
left { {{ x+y-xy = 1} atop {xy(x+y)=2}} right.\
left { {{ (x-1)(1-y)=0 } atop {xy(x+y)=2}} right.\")
1) x = 1
y(1+y)=2
y² + y - 2 = 0
D = 1 + 8 = 9
y₁ = (-1-3)/2=-2
y₂ = (-1+3)/2=1
Ответ: (-2; 1); (1; -2); (1; 1)
2)![left { {{x(1+y)=3} atop {xy^2(1+y)=12}} right. \
left { {{x(1+y)=3} atop {3y^2=12}} right. \](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%281%2By%29%3D3%7D+atop+%7Bxy%5E2%281%2By%29%3D12%7D%7D+right.+%5C%0A+left+%7B+%7B%7Bx%281%2By%29%3D3%7D+atop+%7B3y%5E2%3D12%7D%7D+right.+%5C "left { {{x(1+y)=3} atop {xy^2(1+y)=12}} right. \
left { {{x(1+y)=3} atop {3y^2=12}} right. \")
y²= 4
y₁ = -2
y₂ = 2
x₁(1-2)=3
x₁ = -3
x₂(1+2)=3
x₂ = 1
Ответ: (-3; -2); (1; 2)
1) x = 1
y(1+y)=2
y² + y - 2 = 0
D = 1 + 8 = 9
y₁ = (-1-3)/2=-2
y₂ = (-1+3)/2=1
Ответ: (-2; 1); (1; -2); (1; 1)
2)
y²= 4
y₁ = -2
y₂ = 2
x₁(1-2)=3
x₁ = -3
x₂(1+2)=3
x₂ = 1
Ответ: (-3; -2); (1; 2)
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