### Home > CCA2 > Chapter 4 > Lesson 4.2.3 > Problem4-96

4-96.

Solve the system of equations below. Homework Help ✎

x + 3y = 16
x − 2y = 31

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

1. Now rewrite the system and replace $x$ with $x^2$.

x2 + 3y = 16
x2 − 2y = 31

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

Since x2 replaced x and you already know the solution for x, what does x2 equal?

The equations represent parabolas that intersect at two points.