Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 41 \\x - y = 1\end{array} \right.$

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 41 \\x - y = 1\end{array} \right.$

A) $( 5,4 ) , ( - 4 , - 5 )$
B) $( - 5,4 ) , ( - 4,5 )$
C) $( - 5 , - 4 ) , ( - 4 , - 5 )$
D) $( 5 , - 4 ) , ( 4 , - 5 )$