Solve the System of Nonlinear Equations by the Addition Method $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 20 \\3 y ^ { 2 } - x = 50\end{array}$$

Multiple Choice

Solve the system of nonlinear equations by the addition method. $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 20 \\3 y ^ { 2 } - x = 50\end{array}$$

A) $\left\{ ( - 2 , - 4 ) , ( - 2,4 ) , \left( \frac { 5 } { 3 } , - \frac { \sqrt { 155 } } { 3 } \right) , \left( \frac { 5 } { 3 } , \frac { \sqrt { 155 } } { 3 } \right) \right\}$
B) $\left\{ ( \sqrt { 20 } , 0 ) , \left( 0 , - \sqrt { \frac { 50 } { 3 } } \right) \right\}$
C) $\{ ( 0 , \sqrt { 20 } ) , ( - 2,4 ) \}$
D) { }