Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 4 x + y = 22 \\2 x + 5 y = 2\end{array}$$

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.
- $$\begin{array} { l } 4 x + y = 22 \\2 x + 5 y = 2\end{array}$$

A) $\varnothing$
B) $\{ ( - 2 , - 6 ) \}$
C) $\{ ( - 2,6 ) \}$
D) $\{ ( 6 , - 2 ) \}$