1,\left\{\begin{matrix}
(x+y).3^{y-x}=\frac{5}{27} & & \\ 3.log_{5}(x+y)=x-y
& &
\end{matrix}\right.
2,\left\{\begin{matrix}
x^3-12x-y^3+6y^2-16=0 & & \\ 4x^2+2\sqrt{4-x^2}-5\sqrt{4y-y^2}-16=0
& &
\end{matrix}\right.(x,y\in R)
3,\left\{\begin{matrix}
x.y^2+xy-2x=2& & \\ 2x^3y+2x^3=x+x^2
& &
\end{matrix}\right.
4,\left\{\begin{matrix}
x^4-4x^2+y^2-6y+9=0 & \\ x^2y+x^2+2y-22=0
& &
\end{matrix}\right.
5,\left\{\begin{matrix}
x^3y+xy=5+x & \\ x^2(x^4y^2-y^2+2y)=5+x^2
& &
\end{matrix}\right.