Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { r } 20 x - y = 1 \\x y = 1\end{array} \right.$

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { r } 20 x - y = 1 \\x y = 1\end{array} \right.$

A) $\left( \frac { 1 } { 4 } , 4 \right) , \left( - \frac { 1 } { 5 } , - 5 \right)$
B) $\left( 4 , \frac { 1 } { 4 } \right) , \left( - 5 , - \frac { 1 } { 5 } \right)$
C) $\varnothing$
D) $( - 4,4 ) , ( 5 , - 5 )$