Determine the Real Solutions to the System of Nonlinear Equations $x y = 1$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $x y = 1$
$7 x - y = - 6$

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