Ta có: \(x+y=2xy\)
\(\Rightarrow2x+2y=4xy\)
\(\Rightarrow\left(2x-4xy\right)+\left(2y-1\right)=-1\)
\(\Rightarrow\left(2y-1\right)\left(1-2x\right)=-1\)
\(\Rightarrow\left(2y-1,1-2x\right)=\left(1,-1;-1,1\right)\)
\(\Rightarrow\left(x,y\right)=\left(1,1;0,0\right)\)