Reasoning Can there be more than one point of intersection between the graphs of two linear equations? Why or why not?
Expert Solution & Answer
To determine
To Explain: Why or why not the intersection of system of linear equations has more than one point as solution.
Answer to Problem 10P
Yes! The system of linear equations can have more than one point of intersection. Overlapping lines has infinite number of solutions. That’s the system of equations represents same line.
Explanation of Solution
Given information:The system of equation with more than one solution.
If the graph of system of linear equations is overlapping lines then they have more than one solution.
The overlapping lines lay one on another. So, they intersect at more than one point. That’s the simplest form of two equations are same.
Conclusion: The overlapping lines intersect at more than one point.
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