Short Answer

Quality Control: Verifying System Constraints

A Quality Control Analyst is auditing a data model represented by the system of constraints: {xy=1,  2xy=5}\{x - y = -1, \; 2x - y = -5\}. To verify if the data point (2,1)(-2, -1) is a valid solution, the analyst substitutes it into the second equation, 2xy=52x - y = -5.

What is the specific numerical result obtained on the left side of the second equation after substitution, and based on the definition of a solution to a system, why does this result mean the point is NOT a solution?

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Updated 2026-04-17

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