### Home > CCA2 > Chapter 4 > Lesson 4.2.3 > Problem 4-96

4-96.

Solve the system of equations below. Homework Help ✎

*x* + 3*y* = 16

*x* − 2*y* = 31

The answer for the linear system is (25, −3).

Now rewrite the system and replace

with.*x*^{2}+ 3*y*= 16*x*^{2}− 2*y*= 31What effect will this have on the solution to the system? Solve the new system.

Since

*x*^{2}replaced*x*and you already know the solution for*x*, what does*x*^{2}equal?The equations represent parabolas that intersect at two points.