Methods and systems are provided for a motor vehicle engine, a supply air system including an electrically heated exhaust gas aftertreatment device arranged in the exhaust system, an electric turbocharger including an exhaust turbine and an intake compressor. In one example, the exhaust gas aftertreatment device may be heated and the electric turbocharger may be simultaneously operated to expedite attainment of aftertreatment device light-off while maintaining emissions quality.