Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination $$\begin{aligned}5 x - 7 y & = - 3 \\- 6 x + 5 y & = 7\end{aligned}$$

Multiple Choice

Solve the system using Gaussian elimination or Gauss-Jordan elimination.
- $$\begin{aligned}5 x - 7 y & = - 3 \\- 6 x + 5 y & = 7\end{aligned}$$

A) $\{ ( - 2 , - 1 ) \}$
B) $\{ ( - 1 , - 2 ) \}$
C) $\{ ( 2,1 ) \}$
D) $\{ ( - 1,2 ) \}$