Cramer's Rule: A Simplified Explanation

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Cramer's Rule is a mathematical theorem used to solve systems of linear equations with a unique solution. The discussion seeks a simpler proof or explanation of Cramer's Rule, as the provided resources are difficult to understand. Participants express gratitude for any clarification that aids comprehension. The need for accessible explanations highlights the complexity of the topic for learners. Simplifying Cramer's Rule can enhance understanding and application in solving linear equations.
rock.freak667
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Is there any simpler proof for Cramer's rule because I've been trying to understand it from this site and some of it I just don't get

http://planetmath.org/encyclopedia/ProofOfCramersRule.html
 
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http://www.math.psu.edu/levi/231H/cramer.pdf
 
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Well thanks, that kind of helps me a little
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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