Adan M.

asked • 12/09/15

a counterexample for 3x+5y=5y+3x

This is a question on my homework that has been bugging me for some time. I need to find a counterexample of the question shown. I have tried pretty much everything and need help. Please reply as soon as possible.

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John K. answered • 12/09/15

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A counterexample is a solution that proves a logic statement false. Since 3x+5y=5y+3x is a tautology, I am inclined to say that there are no counterexamples.
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Mark M.

Tautology is a term more associated with logic - philosophical or mathematical. In Algebra the equation is an example of the Reflexive Property of Equality.
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12/09/15

Mark M.

The equation is a statement of the Commutative Property of Addition. Therefore it is axiomatic.
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12/09/15

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