Which method of solving Multiple Linear Equations is best
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Which method of solving Multiple Linear Equations is best

[From: ] [author: ] [Date: 12-08-13] [Hit: ]
Elimination just leaves too many possible sources of error.Sometimes in transforming an equation, I multiply the coefficients of x and y by some number and forget to multiply the sum by that number.I dont make those errors when I substitute.......
Addition/ Subtraction Elimination;
Substitution;
Gauss-Jordan Elimination;
Cramer's Rule.
Is one particularly better than the others, or are they all equally as useful and serve different purposes eventually. OR, does it just become a preference thing? I'm almost done with Pre-Calc and I'm just wondering if they are just all gone over so you can choose the one you like best or if they all have their own uses.
Thanks

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For smaller systems (2 or 3 equations), I'll use either substitution, if I can do so without fractions, otherwise I'll use addition/subtraction elimination.

For larger systems, I prefer Gauss-Jordan elimination.

I very rarely use Cramer's Rule, simply because I've found that it's quite easy to make an error when calculating determinants of large matrices, and for smaller matrices, the substitution or elimination method works quite well.

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Personally, I prefer substitution, because I tend to make fewer mistakes doing it. Elimination just leaves too many possible sources of error. Sometimes in transforming an equation, I multiply the coefficients of x and y by some number and forget to multiply the sum by that number. I don't make those errors when I substitute.
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