To identify: That it is possible for the graph of a system of rational equations to include a point of intersection that is an extraneous solution.
The extraneous solution cannot be included as a point of intersections.
Given information:
The given system is the system of rational equations.
Explanation:
Consider the given information.
If a solution
Also, the extraneous solutions cannot be in the domain of a rational equations.
The graph of a rational expression involved in the equation, then there might be a hole or a vertical asymptote at this extraneous solution.
Thus, the extraneous solution cannot be included as a point of intersections.
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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