An engine system for a motor vehicle is provided. The engine system includes a first exhaust-gas turbine in a first turbocharger driven by exhaust gas from the engine, a second exhaust-gas turbine in a second turbocharger driven by exhaust gas from the engine, a bypass coupled upstream and downstream of the first exhaust-gas turbine, and a pneumatic charge pressure control device including a bypass valve positioned in the bypass and a charge pressure control valve pneumatically coupled to the bypass valve and an intake line downstream of a first compressor included in the first turbocharger, the pneumatic charge pressure control device further including an adaptation unit pneumatically coupled to the bypass valve and an exhaust line upstream of the second exhaust-gas turbine.