Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } - 7 x + 9 y = - 54 \\2 x - 3 y = 18\end{array}$$

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the
solution with y arbitrary.
- $$\begin{array} { l } - 7 x + 9 y = - 54 \\2 x - 3 y = 18\end{array}$$

A) $\{ ( - 1 , - 5 ) \}$
B) $\varnothing$
C) $\{ ( 0 , - 5 ) \}$
D) $\{ ( 0 , - 6 ) \}$