Find All Real Solutions to the System of Equations Using $\begin{aligned}x ^ { 2 } - 2 y ^ { 2 } & = 2 \\3 x ^ { 2 } + 2 y ^ { 2 } & = 14\end{aligned}$

Multiple Choice

Find all real solutions to the system of equations using the addition method.
- $\begin{aligned}x ^ { 2 } - 2 y ^ { 2 } & = 2 \\3 x ^ { 2 } + 2 y ^ { 2 } & = 14\end{aligned}$

A) (2, 1) , (2, -1) , (-2, 1) , (-2, -1)
B) (-1, 2) , (1, -2)
C) (1, 2) , (-1, 2) , (1, -2) , (-1, -2)
D) (2, 1) , (-2, -1)