A mixing system and mixing method are provided. The mixing system includes a tank assembly, a container positioned within the tank assembly, a mixer disposed within a compartment of the container, a linear motor, and a shaft having a first end secured to the mixer and an opposing second end secured to the linear motor. The linear motor provides a variable stroke length for the shaft. The mixing method includes providing a tank assembly having a linear motor, positioning a mixing assembly including a mixing bag in the tank assembly, combining two or more components in a compartment of the mixing bag, attaching a mixing shaft extending from a mixer disposed within the mixing bag to the linear motor, and raising and lowering the mixing shaft to mix the two or more components. A stroke length of the mixing shaft during the raising and lowering is varied.