Solve the System by the Substitution or Elimination Method $$\left( \begin{array} { l } y& = &- x ^ { 2 } &+ &6 \\x &+& y &= &7\end{array} \right)$$

Multiple Choice

Solve the system by the substitution or elimination method. $$\left( \begin{array} { l } y& = &- x ^ { 2 } &+ &6 \\x &+& y &= &7\end{array} \right)$$

A) $\left( \frac { 1 - i \sqrt { 3 } } { 2 } , \frac { 13 + i \sqrt { 3 } } { 2 } \right) , \left( \frac { 1 + i \sqrt { 3 } } { 2 } , \frac { 13 - i \sqrt { 3 } } { 2 } \right)$
B) $\left( \frac { 1 + i \sqrt { 3 } } { 2 } , \frac { 13 + i \sqrt { 3 } } { 2 } \right) , \left( \frac { 1 - i \sqrt { 3 } } { 2 } , \frac { 13 - i \sqrt { 3 } } { 2 } \right)$
C) $( 1 - i \sqrt { 3 } , 13 - i \sqrt { 3 } ) , ( 1 + i \sqrt { 3 } , 13 + i \sqrt { 3 } )$
D) $( 1 + i \sqrt { 3 } , 13 - i \sqrt { 3 } ) , ( 1 - i \sqrt { 3 } , 13 + i \sqrt { 3 } )$