Solve the System of Nonlinear Equations by the Addition Method $$\begin{array} { l } \frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 36 } = 1 \\x ^ { 2 } + y ^ { 2 } = 9\end{array}$$

Multiple Choice

Solve the system of nonlinear equations by the addition method. $$\begin{array} { l } \frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 36 } = 1 \\x ^ { 2 } + y ^ { 2 } = 9\end{array}$$

A) $\{ ( 3,0 ) , ( - 3,0 ) , ( 0,3 ) , ( 0 , - 3 ) \}$
B) $\{ ( 3,0 ) , ( - 3,0 ) \}$
C) $\{ ( 0,3 ) , ( 0 , - 3 ) \}$
D) { }