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What are the pros and Cons on these three methods; graphing,elimination, and substitution

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Each can be good and an "best-fit" for a particular problem and/or situation.  Limited in time and scratch paper space?  Elimination or substitution may be shortest.  But to gain a visual insight and see it tangibly at work in the real world, nothing beats graphing - what we draw tends to have much more mental "stiuckiness" than more abstract methods...  (only my gut-level opinion :-)