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Find the solution to the following system.
$ \left \{ \begin{array}{cc} {y}={3}{x}+{6}\\{2}{x}-{5}{y}={-17} \end{array} \right. $

A. ${x}={-1}, \;{y}={3}$
B. ${x}={3}, \;{y}={-1}$
C. ${x}={1}, \;{y}={3}$
D. ${x}={-1}, \;{y}={-3}$
E. ${x}={-3}, \;{y}={1}$