Solve the System of Linear Equations Below by the Method $\left\{ \begin{array} { c } - 2 x + y = 7 \\2 x - 5 y = - 27\end{array} \right.$

Multiple Choice

Solve the system of linear equations below by the method of elimination, if a single solution exists. $\left\{ \begin{array} { c } - 2 x + y = 7 \\2 x - 5 y = - 27\end{array} \right.$

A) $x = - 3 \text { and } y = - 2$
B) $x = - 1 \text { and } y = 5$
C) $x = - 1 \text { and } y = - 2$
D) $x = - 1 \text { and } y = 0$
E) infinitely many solutions