Are parallel lines no solution?
Understand the Problem
The question is asking whether parallel lines have any solutions in the context of equations, specifically when considering systems of equations. It introduces the concept of parallel lines in geometry, which do not intersect, indicating that they do not share any points in common, hence potentially implying that they represent a system with no solution.
Answer
Parallel lines have no solutions.
The final answer is that parallel lines have no solutions.
Answer for screen readers
The final answer is that parallel lines have no solutions.
More Information
In systems of linear equations, parallel lines are considered inconsistent because they do not share any points of intersection.
Sources
- Describing Solutions to Systems of Linear Equations - courses.lumenlearning.com
- Linear equation with no solutions (parallel lines) [closed] - math.stackexchange.com
- Consistent and Inconsistent Linear Systems | CK-12 Foundation - flexbooks.ck12.org
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