Latex Coder 4

Find the solution to the following system.
$ \left \{ \begin{array}{cc} {y}={2}{x}+{10}\\{3}{x}-{2}{y}={-17} \end{array} \right. $

A. ${x}={-3}, \;{y}={4}$
B. ${x}={4}, \;{y}={-3}$
C. ${x}={3}, \;{y}={4}$
D. ${x}={-3}, \;{y}={-4}$
E. ${x}={-4}, \;{y}={3}$