When choosing a method for solving systems of equations, there
are a few things that I keep in mind. First, I look to see if there are any
alike variables with the same value in front of them. If so, then I put
one equation under the other, and I add. If there are no alike terms,
then I use substitution. While in most cases, elimination is easier, there
are certain occasions where I would just choose to use substitution instead. Although substitution is harder in some cases, you might not realize until you’re in the middle of using elimination, that substitution was the easy way to go in that problem. I will usually choose elimination though, since it has less steps, and if no numbers are the same, then I can just multiply the either, or both, of the equations to make them have a common value. I think elimination is the way to go.
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