Solve the System of Linear Equations by the Method of Elimination

Multiple Choice

Solve the system of linear equations by the method of elimination, find (x,y) . $\left\{ \begin{array} { c } - 5 x + 2 y = - 38 \\3 x - y = 23\end{array} \right.$

A) No solution
B) $( 8,1 )$
C) $( 8 , - 1 )$
D) $\left( \frac { 3 } { 38 } , \frac { 2 } { 23 } \right)$
E) $\left( - 5 , \frac { 2 } { 23 } \right)$