Solve the System of Equations Algebraically for Real Values of X

Multiple Choice

Solve the system of equations algebraically for real values of x and y. $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 41 \\y = x ^ { 2 } - 11\end{array} \right.$$

A) $\quad ( 4,5 ) , ( - 4,5 )$
B) $\quad ( 5,4 ) , ( - 4,5 )$
C) $\quad ( 4,5 ) , ( 5 , - 4 )$
D) $\quad ( - 4,5 ) , ( 4,9 )$
E) $\quad ( 9,5 ) , ( 5 , - 4 )$