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. $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 97 \\x + y = 13\end{array} \right.$$

A) $\quad ( 4,9 ) , ( 9,4 )$
B) $\quad ( 1,9 ) , ( 9,1 )$
C) $\quad ( 9,4 ) , ( 9,4 )$
D) $( 4,9 ) , ( 4,1 )$
E) no solution