Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { l } x y = 1 \\5 x - y = 4\end{array}$$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { l } x y = 1 \\5 x - y = 4\end{array}$$

A) $\left\{ \left( - \frac { 1 } { 5 } , - 5 \right) \right\}$
B) $\left\{ ( 1,1 ) , \left( - 5 , - \frac { 1 } { 5 } \right) \right\}$
C) $\{ ( - 1,1 ) , ( 5 , - 5 ) \}$
D) $\left\{ ( 1,1 ) , \left( - \frac { 1 } { 5 } , - 5 \right) \right\}$