Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { l } x ^ { 2 } + 2 y ^ { 2 } = - 7 \\x - y = - 9\end{array} \right.$

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { l } x ^ { 2 } + 2 y ^ { 2 } = - 7 \\x - y = - 9\end{array} \right.$

A)
$\left( \frac { 9 + \sqrt { 345 } } { 3 } , \frac { - 18 + \sqrt { 345 } } { 3 } \right) , \left( \frac { 9 + \sqrt { 345 } } { 3 } , \frac { - 18 - \sqrt { 345 } } { 3 } \right) , \left( \frac { 9 - \sqrt { 345 } } { 3 } , \frac { - 18 + \sqrt { 345 } } { 3 } \right)$ , $\left\{ \frac { 9 - \sqrt { 345 } } { 3 } , \frac { - 18 - \sqrt { 345 } } { 3 } \right\}$
B)
$\left\{ \frac { - 18 + \sqrt { 345 } } { 3 } , \frac { 9 + \sqrt { 345 } } { 3 } \right) , \left( \frac { - 18 + \sqrt { 345 } } { 3 } , \frac { 9 - \sqrt { 345 } } { 3 } \right) , \left( \frac { - 18 - \sqrt { 345 } } { 3 } , \frac { 9 + \sqrt { 345 } } { 3 } \right)$ ,
$- 18$ $\varnothing$
C) $\varnothing$
D) $( 0,0 )$

Correct Answer:

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