Objective: The objective of this research work was to develop and validate a simple, precise, and accurate new ultraviolet-spectrophotometric method for the simultaneous estimation of emtricitabine (EMT), tenofovir disoproxil fumarate (TDF), cobicistat (COB), and elvitegravir (ELV) in pure and pharmaceutical marketed dosage form (stribild).Methods: Simultaneous equation method (Vierordt’s method) was developed for simultaneous determination of several mixtures containing two or more absorbing drugs (p, q, r, and s) each of which absorbs at the λ max of the other. Forced degradation studies were also conducted, and the drugs were subjected to various stress conditions such as acid hydrolysis, base hydrolysis, oxidative, photolytic, and thermal degradation.Results: The λ max of EMT, ten TDF, COB, and ELV are 283 nm, 259 nm, 240 nm, and 258 nm, respectively. The linearity ranges for the four drugs are EMT (4–24 μg/ml), TDF (10–50 μg/ml), COB (10–120 μg/ml), and ELV (2–10 μg/ml).Conclusion: The Vierordt’s method was successfully applied for simultaneous determination of EMT, TDF, COB, and ELV in a mixture of sample solution (pharmaceutical dosage form) and the results obtained were validated and found to be accurate, precise, linear, rugged, and robust.