Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { c } 5 x - 2 y = 2 \\- 10 x + 4 y = - 6\end{array}$

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.
$\begin{array} { c } 5 x - 2 y = 2 \\- 10 x + 4 y = - 6\end{array}$

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

D) $\left\{ \frac { 3 } { 4 } y - 6 , y \right\}$