\(\left\{{}\begin{matrix}\left(x-1\right)\left(y-2\right)=xy-2\\\left(x+1\right)\left(y+2\right)=xy+6\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}xy-2x-y+2=xy-2\\xy+2x+y+2=xy+6\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}-2x-y=-4\\2x+y=4\end{matrix}\right.\Leftrightarrow\left(x,y\right)\in R\)
\(6.\left\{{}\begin{matrix}x+2y=5\\3x-y=1\end{matrix}\right.\)
\(7.\left\{{}\begin{matrix}\left(x+1\right)\left(y-1\right)=xy-1\\\left(x-3\right)\left(y-3\right)=xy-3\end{matrix}\right.\)
\(8.\left\{{}\begin{matrix}\dfrac{1}{x+1}-\dfrac{3}{y-1}=-1\\\dfrac{2}{x+1}+\dfrac{4}{y-1}=3\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(x+10\right)\left(y-\dfrac{1}{2}\right)=xy\\\left(x-10\right)\left(y+\dfrac{1}{3}\right)=xy\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(x+y\right)\left(x-1\right)=\left(x-y\right)\left(x+1\right)+2\left(xy+1\right)\\\left(y-x\right)\left(y+1\right)=\left(y+x\right)\left(y-2\right)-2xy\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\dfrac{1}{2}\left(x+2\right)\left(y+3\right)=\dfrac{1}{2}xy+56\\\dfrac{1}{2}\left(x-2\right)\left(y-2\right)=\dfrac{1}{2}xy-32\end{matrix}\right.\)
Giải hệ phương trình
a)\(\left\{{}\begin{matrix}x+y=6\\\\2x-3y=12\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x-y=5\\\left(x-2\right)\left(y+3\right)=3+xy\end{matrix}\right.\)
giải hệ:
\(\left\{{}\begin{matrix}x+2y=7\\x^2+y^2-2xy=1\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x-y=2\\x^2+y^2+164\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x-y+xy=-13\\x^2+y^2-x-y=32\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x-y=3\\x^3-y^3=7\end{matrix}\right.\)
a) \(\left\{{}\begin{matrix}x^2-y^2=3\left(x-y\right)\\xy=2\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x\sqrt{y}+y\sqrt{x}=6\\x^2y+y^2x=20\end{matrix}\right.\)
Giải hệ \(\left\{{}\begin{matrix}x^2+xy\left(2y-1\right)=2y^3-2y^2-x\\6\sqrt{x-1}+y+7=4x\left(y-1\right)\end{matrix}\right.\)
Giải hệ \(\left\{{}\begin{matrix}x^2+xy\left(2y-1\right)=2y^3-2y^2-x\\6\sqrt{x-1}+y+7=4x\left(y-1\right)\end{matrix}\right.\)
