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Which method is better for solving linear equations - addition or substitution, and why?

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Which method is better for solving linear equations - addition or substitution, and why?

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Solution Summary

Addition and substitution methods for solving systems of equations are discussed.

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It is hard to say which method is better. I'd like to analysis the advantage and disadvantage of the two methods.
Example1:
x+3y=4
2x+5y=7
The first equation can be expressed as x=4-3y, then it can be substituted in the second equation and get
2(4-3y)+5y=7
then 8-6y+5y=7 and we ...

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