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. $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 73 \\y = x ^ { 2 } - 61\end{array} \right.$$

A) $( 3,8 ) , ( - 8,3 )$
B) $\quad ( 5,3 ) , ( 3 , - 8 )$
C) $\quad ( 8,3 ) , ( 3 , - 8 )$
D) $\quad ( 8,3 ) , ( - 8,3 )$
E) $\quad ( - 8,3 ) , ( 8,5 )$