Cloud point extraction (CPE) was used in this work to eliminate anionic dyes, Cresol red and Methyl orange, in the form of binary combinations. To remove these dyes from aqueous solutions, Triton X-100 was utilized. We chose wavelengths of 365 nm and 520 nm for Cresol red and Methyl orange, respectively, using a derivative spectrophotometer and first-order derivatives. The response surface methodology was then utilized to ascertaint he effect of surfactant concentration, temperature, and time on the dyes' elimination processes. The quadratic mathematical model obtained from the Box-Behnken design (BBD) matrix was used and developed to estimate the influence of each variable and its relationship with the elimination parameters. Using model equations and comparison between predicted and empirical values, coefficients of determination (R2) bigger than 0.97 were obtained. By applying variance analysis, significance and anticipation of models were validated, and process variables were estimated. The data demonstrate that the mentioned dyes adsorption may be described using the model of pseudo-first-order in kinetic modelling. The data illustrates that the analyzed dyes adhere to the Langmuir model, with a correlation value of 0.86 for Cresol red and 0.87 for Methyl orange. The monolayer capacity (Qmax) was determined to be 0.77 mol/mol for Cresol red and 26.41 mol/mol for Methyl orange.