SOLUTION: Sometimes it is very obvious which method is most efficient to solve a system of equations because of the way the problem is set up. To be efficient, under what conditions would yo

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Question 489895: Sometimes it is very obvious which method is most efficient to solve a system of equations because of the way the problem is set up. To be efficient, under what conditions would you use graphing? Elimination? Substitution? Provide an example of each.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Graphing is only for approximate solutions. Use this if your coefficients are weird, irrational numbers or something.

Elimination works best when two of your x-coefficients are opposites of each other (e.g. if you have a 2x in one equation and -2x in another). If not, multiplying one equation by a constant can help.

Substitution works best when one of your coefficients is 1. Then solve for this variable (e.g. x = ...) and substitute that expression into another equation.