Consider the following system of equations:

$\begin{array}{l}

10+y=5 x+x^2 \\

5 x+y=1

\end{array}$

1. The first equation is an equation of a [parabola / line / circle / ellipse].
   
2. The second equation is an equation of a [parabola / line / circle / ellipse].
   
3. How many solutions are there to the system of equations?
   

• 0
  
• 1
  
• 2
  
• 3
  
• 4
  
• Infinite
  

1. What are the solutions to the system? (____, -4) and (-11, ____)