\(\hept{\begin{cases}x^2+y^2+\frac{8xy}{x+y}=16\\2x^2-5x+2\sqrt{x+y}-\sqrt{3x-2}=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x^2+y^2=16-\frac{8xy}{x+y}\\2x^2=5x-2\sqrt{x+y}+\sqrt{3x-2}\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}2x-3y+6=0\\3x-y+7=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=2\\y=1\end{cases}}\)
Vậy pt có \(n_oS=\left\{2;1\right\}\)