Latex Coder 4

Find the solution to the following system.
$ \left \{ \begin{array}{cc} {y}={5}{x}+{21}\\{5}{x}-{6}{y}={-26} \end{array} \right. $

A. ${x}={-4}, \;{y}={1}$
B. ${x}={1}, \;{y}={-4}$
C. ${x}={4}, \;{y}={1}$
D. ${x}={-4}, \;{y}={-1}$
E. ${x}={-1}, \;{y}={4}$