Find the solution to the following system.

$ \left \{ \begin{array}{cc} {y}={4}{x}+{24}\\{5}{x}-{7}{y}={-53} \end{array} \right. $

A. ${x}={-5}, \;{y}={4}$

B. ${x}={4}, \;{y}={-5}$

C. ${x}={5}, \;{y}={4}$

D. ${x}={-5}, \;{y}={-4}$

E. ${x}={-4}, \;{y}={5}$

$ \left \{ \begin{array}{cc} {y}={4}{x}+{24}\\{5}{x}-{7}{y}={-53} \end{array} \right. $

A. ${x}={-5}, \;{y}={4}$

B. ${x}={4}, \;{y}={-5}$

C. ${x}={5}, \;{y}={4}$

D. ${x}={-5}, \;{y}={-4}$

E. ${x}={-4}, \;{y}={5}$