Solve the system of equations below.

 $x+3y=16$
$x-2y=31$

1. Now write a new system by replacing $x$ with $x^2$.

   Answer (a):

   $x^2+3y=16$
   $x^2−2y=31$

2. What effect will this replacement have on the solution to the system? Solve the new system.

   Hint (b):

   Since $x^2$ replaced $x$ and you already know the solution for $x$, what does $x^2$ equal?

   More Help (b):

   The equations represent parabolas that intersect at two points.