A turbine engine fuel supply system includes a priority flow line, a plurality of secondary fuel loads, an electric fuel metering pump, and a mechanically-driven fuel pump. The priority flow line is used to supply fuel to one or more gas turbine engine fuel manifolds. The electric fuel metering pump has a fuel inlet and a fuel outlet, and is adapted to be selectively energized and, upon being energized, to draw fuel into its fuel inlet and discharge the fuel from its fuel outlet for supply to the priority flow line. The mechanically-driven fuel pump has a fuel inlet, and a fuel outlet that is in fluid communication with the electric fuel metering pump fuel inlet and the plurality of secondary fuel loads. As such, fuel may be supplied to the secondary fuel loads independent of the electric fuel metering pump, which advantageously reduces the electrical power consumption of the electric fuel metering pump.