Which Method Should Be Used to Solve the System? Explain $$\begin{aligned}x ^ { 2 } - 3 y ^ { 2 } & = 49 \\7 x ^ { 2 } - 7 y ^ { 2 } & = 9\end{aligned}$$

question 359

Essay

Which method should be used to solve the system? Explain your answer, including a description of the first step.
- $$\begin{aligned}x ^ { 2 } - 3 y ^ { 2 } & = 49 \\7 x ^ { 2 } - 7 y ^ { 2 } & = 9\end{aligned}$$

---

Definitions:

Co-sureties

Individuals or entities that jointly commit to paying back a debt or fulfilling an obligation if the primary party fails to do so.

Guarantor

A person or entity that agrees to be responsible for another's debt or obligations if the original party fails to meet their responsibilities.

Guaranty

A legal commitment by one party to assume responsibility for the debt obligation of a borrower if that borrower defaults.

Suretyship

A contractual agreement where a party (surety) agrees to be responsible for the debt or obligations of another party (principal) if that party fails to fulfill them.