Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { l } x y = 1 \\42 x - y = - 1\end{array}$$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { l } x y = 1 \\42 x - y = - 1\end{array}$$

A) $\{ ( - 7,7 ) , ( 6 , - 6 ) \}$
B) $\left\{ \left( 7 , \frac { 1 } { 7 } \right) , \left( - 6 , - \frac { 1 } { 6 } \right) \right\}$
C) $\left\{ \left( \frac { 1 } { 7 } , 7 \right) , \left( - \frac { 1 } { 6 } , - 6 \right) \right\}$
D) $\left\{ \left( - \frac { 1 } { 6 } , - 6 \right) \right\}$