This study investigated the significance of applying Cattaneo-Christov's theories to the analysis of fluid flow with chemical reactions over a stretching surface, considering various thermophysical factors. The physical problem was mathematically modelled using a set of partial differential equations. To simplify this complex system, appropriate similarity variables were introduced, leading to a set of coupled nonlinear ordinary differential equations. These transformed equations were then solved using the spectral relaxation method, a technique rooted in Gauss-Seidel relaxation methods. The results were presented through visualizations and tabulated data. Interestingly, the thermal radiation parameter was observed to enhance both velocity and temperature distributions, while the magnetic field parameter had a dampening effect on the velocity profile.