Solve the System by the Addition Method, If Possible $$\left\{ \begin{array} { c } 2 ( x + y ) = y - 19 \\7 ( x + 10 ) = y + 17\end{array} \right.$$

Multiple Choice

Solve the system by the addition method, if possible. If a solution exists, give the value of x. $$\left\{ \begin{array} { c } 2 ( x + y ) = y - 19 \\7 ( x + 10 ) = y + 17\end{array} \right.$$

A) $- 5$
B) $- 11$
C) $- 2$
D) $- 8$
E) no solution