CPM Homework Help : A2C Problem 5-94

Solve the system of equations at right.

$x+3y=16\\x−2y=31$

Answer:

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

Now rewrite the system and replace $x$ with $x^2$ .
Answer (a):
$x^2+3y=16\\x^2−2y=31$
What effect will this 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.