We investigate dynamical chiral symmetry breaking in unquenched ${\mathrm{Q}\mathrm{E}\mathrm{D}}_{3}$ using the coupled set of Dyson-Schwinger equations for the fermion and photon propagators. For the fermion-photon interaction we employ an ansatz which satisfies its Ward-Green-Takahashi identity. We present self-consistent analytical solutions in the infrared as well as numerical results for all momenta. In Landau gauge, we find a phase transition at a critical number of flavors of ${N}_{f}^{\mathrm{c}\mathrm{r}\mathrm{i}\mathrm{t}}\ensuremath{\approx}4$. In the chirally symmetric phase the infrared behavior of the propagators is described by power laws with interrelated exponents. For ${N}_{f}=1$ and ${N}_{f}=2$ we find small values for the chiral condensate in accordance with bounds from recent lattice calculations. We investigate the Dyson-Schwinger equations in other linear covariant gauges as well. A comparison of their solutions to the accordingly transformed Landau gauge solutions shows that the quenched solutions are approximately gauge covariant, but reveals a significant amount of violation of gauge covariance for the unquenched solutions.