Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { l } 4 x - 2 y - 10 = 0 \\8 x + y - 25 = 0\end{array}$

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.
$\begin{array} { l } 4 x - 2 y - 10 = 0 \\8 x + y - 25 = 0\end{array}$

A) $\{ ( - 3 y , y ) \}$
B) $\varnothing$
C) $\{ ( 3,1 ) \}$
D) $\{ ( 2 , - 1 ) \}$