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inconsistent equations

Inconsistent equations is defined as two or more equations that are impossible to solve based on using one set of values for the variables.

(noun)

An example of a set of inconsistent equations is x+2=4 and x+2=6.

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See inconsistent equations in Webster's New World College Dictionary

two or more equations impossible to satisfy by any one set of values for the variables (Ex.: x + y = 1 and x + y = 2)
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