Graph the system below and write its solution. \[ \left\{\begin{array}{l} 3 x+y=-6 \\ y=\frac{1}{2} x+1 \end{array}\right. \] Note that you can also answer "No solution" or "Infinitely many" solutions.

Step 1 ：The system of equations is a set of two linear equations. To find the solution, we need to find the point where the two lines intersect. This can be done by setting the two equations equal to each other and solving for x.

Step 2 ：Once we have the x value, we can substitute it into either of the original equations to find the corresponding y value.

Step 3 ：The solution to the system of equations is x = -2 and y = 0. This is the point where the two lines intersect on the graph.

Step 4 ：Final Answer: The solution to the system of equations is \(\boxed{x = -2, y = 0}\).