The Simultaneous Estimation of quercetin & celecoxib in original form was achieved by the development and validation of a innovative, straightforward, accurate, repeatable, and efficient simultaneous equation technique. The technique relied on measuring the absorbance of quercetin and celecoxib at 2 wavelengths (373 nm and 251 nm) and determining their λmax. The conc. ranges of 4–12 μg/mL for quercetin and 1.6–4.8 μg/mL for celecoxib were found to have linear calibration curves. It was discovered that the calibration curves for quercetin and celecoxib had linear conc. ranges of 4–12 μg/mL and 1.6–4.8 μg/mL, accordingly, with values for the correlation coefficient (R2) of 0.999. A percentage RSD value was confirmed to be within limits (RSD <2%) in the precision study. In this work, the greenness of a binary combination of quercetin and celecoxib is measured using spectrophotometric techniques. Within the analytical community, the use of green analytical chemistry has become widely accepted. The Analytical GREEnness calculator was used to analyze the assessment's greenness. The simultaneous equation methodology is applied in the technique for Quercetin at 373 nm and Celecoxib at 251 nm, respectively. The established procedures underwent validation in compliance with ICH recommendations. Quercetin and celecoxib can be successfully estimated together in pharmaceutical and pure dose forms using the suggested method.