![image](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%5Cfrac%7B2%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7By%7D%3D1%5C%5Cx-y%3D2%3D%3Ex%3Dy%2B2%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5C%5Cfrac%7B2%7D%7By%2B2%7D%2B%5Cfrac%7B1%7D%7By%7D%3D1%7C%2Ay%28y%2B2%29%5C%5Cy%2B2%3Dy%5E2%5C%5Cy%5E2-y-2%3D0%5C%5Cy_1%3D2%5C+%3By_2%3D-1%5C%5Cx_1%3D4%5C+%3Bx_2%3D1%5C%5C%5C%5COTBET%3A%284%3B2%29+%281%3B-1%29)
x=y+2\end{cases}\\\\\\\frac{2}{y+2}+\frac{1}{y}=1|*y(y+2)\\y+2=y^2\\y^2-y-2=0\\y_1=2\ ;y_2=-1\\x_1=4\ ;x_2=1\\\\OTBET:(4;2) (1;-1)" alt="\begin{cases}\frac{2}{x}+\frac{1}{y}=1\\x-y=2=>x=y+2\end{cases}\\\\\\\frac{2}{y+2}+\frac{1}{y}=1|*y(y+2)\\y+2=y^2\\y^2-y-2=0\\y_1=2\ ;y_2=-1\\x_1=4\ ;x_2=1\\\\OTBET:(4;2) (1;-1)" align="absmiddle" class="latex-formula">