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What is the geometric interpretation of the solution to a system of linear equat
What is the geometric interpretation of the solution to a system of linear equations?
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Practice Questions
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Q1
What is the geometric interpretation of the solution to a system of linear equations?
The area enclosed by the lines
The point of intersection of the lines
The distance between the lines
The angle between the lines
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The solution represents the point where the lines intersect, if they do.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the geometric interpretation of the solution to a system of linear equations?
Solution:
The solution represents the point where the lines intersect, if they do.
Steps: 6
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Step 1: Understand that a system of linear equations consists of two or more equations that can be represented as lines on a graph.
Step 2: Each equation in the system represents a line in a two-dimensional space.
Step 3: The solution to the system is the point where these lines meet or intersect.
Step 4: If the lines intersect at one point, that point is the solution to the system of equations.
Step 5: If the lines are parallel and never meet, there is no solution.
Step 6: If the lines overlap completely, there are infinitely many solutions.
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