A：$\left\{\begin{array}{c}x=1-\frac{1}{2}t\\ y=5+\frac{\sqrt{3}}{2}t\end{array}\right.$

B：$\left\{\begin{array}{c}x=1+\frac{\sqrt{3}}{2}t\\ y=5+\frac{1}{2}t\end{array}\right.$

C：$\left\{\begin{array}{c}x=1+\frac{1}{2}t\\ y=5+\frac{\sqrt{3}}{2}t\end{array}\right.$

D：$\left\{\begin{array}{c}x=-1+\frac{1}{2}t\\ y=-5+\frac{\sqrt{3}}{2}t\end{array}\right.$