Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 5 x - 2 y - 10 = 0 \\10 x + y - 25 = 0\end{array}$$

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.
- $$\begin{array} { l } 5 x - 2 y - 10 = 0 \\10 x + y - 25 = 0\end{array}$$

A) $\varnothing$
B) $\left\{ \left\{ - \frac { 5 } { 2 } y , y \right) \right\}$
C) $\left\{ \left\{ \frac { 12 } { 5 } , 1 \right\} \right\}$
D) $\left\{ \left\{ \frac { 8 } { 5 } , - 1 \right) \right\}$