Which Method Should Be Used to Solve the System? Explain $$\begin{aligned}- 5 x ^ { 2 } + 3 y ^ { 2 } & = 49 \\x + 6 y & = 3\end{aligned}$$

Essay

Which method should be used to solve the system? Explain your answer, including a description of the first step.
- $$\begin{aligned}- 5 x ^ { 2 } + 3 y ^ { 2 } & = 49 \\x + 6 y & = 3\end{aligned}$$