Which Method Should Be Used to Solve the System? Explain $$\begin{aligned}7 x ^ { 2 } + 8 y ^ { 2 } & = 4 \\- 2 x ^ { 2 } + 7 y ^ { 2 } & = 49\end{aligned}$$

Essay

Which method should be used to solve the system? Explain your answer, including a description of the first step.
- $$\begin{aligned}7 x ^ { 2 } + 8 y ^ { 2 } & = 4 \\- 2 x ^ { 2 } + 7 y ^ { 2 } & = 49\end{aligned}$$