Solve the System of Equations by the Addition Method $\left\{ \begin{array} { l } 5 x - 2 y = - 17 \\5 x - \frac { 1 } { 2 } y = - 23\end{array} \right.$

Multiple Choice

Solve the system of equations by the addition method.
- $\left\{ \begin{array} { l } 5 x - 2 y = - 17 \\5 x - \frac { 1 } { 2 } y = - 23\end{array} \right.$

A) $( - 4 , - 5 )$
B) no solution
C) $( 5 , - 5 )$
D) $( - 5 , - 4 )$