Question

How many solutions are there to each nonlinear system of equations? How do you know?

1.

2.

3.

Answer 1

0, 1, 2

Explanation:

The solution to a system of equations given graphically is at the intersection of the individual graphs.

Graph (1)

There is no intersection between the 2 graphs so no solution

Graph (2)

There is one point of intersection between the 2 graphs so 1 solution

Graph (3)

There are two points of intersection between the 2 graphs so 2 solutions