Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination $$\begin{aligned}x + 4 y & = - 7 \\4 x + 3 y & = 11\end{aligned}$$

Multiple Choice

Solve the system using Gaussian elimination or Gauss-Jordan elimination.
- $$\begin{aligned}x + 4 y & = - 7 \\4 x + 3 y & = 11\end{aligned}$$

A) $\{ ( 5 , - 3 ) \}$
B) $\left\{ \left( \frac { 17 } { 19 } , \frac { 65 } { 19 } \right) \right\}$
C) $\{ ( - 3,5 ) \}$
D) $\left\{ \left\{ - \frac { 65 } { 19 } , - \frac { 17 } { 19 } \right) \right\}$