Case Study

Conveyor Belt Calibration Audit

Using the provided scenario, recall the standard three-step determination strategy used to verify if a number is a solution to a linear equation. Apply this strategy step-by-step to show how the trial index y=13y = \frac{1}{3} is verified against the equation 9y+2=6y+3{}9y + 2 = 6y + 3. In your response, clearly state the exact mathematical expressions and numerical identities obtained at each of the three steps (substitution, simplification, and final determination) to prove whether the trial value is a valid solution.

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Updated 2026-06-17

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