方程组 $\left\{\begin{array}{c}x+y=10\\ 2x+y=16\end{array}\right.$ 的解是 $($ 　　 $)$

A．

$\left\{\begin{array}{c}x=6\\ y=4\end{array}\right.$

B．

$\left\{\begin{array}{c}x=5\\ y=6\end{array}\right.$

C．

$\left\{\begin{array}{c}x=3\\ y=6\end{array}\right.$

D．

$\left\{\begin{array}{c}x=2\\ y=8\end{array}\right.$