Cotransport systems utilize indirect active transport to move solutes across membranes, where the movement of one solute along its concentration gradient provides energy for another solute to move against its gradient. Sodium-potassium pumps create the necessary electrochemical gradients for this process, allowing glucose to be transported into cells by utilizing the energy from sodium moving inwards. The carrier proteins involved in glucose cotransport harness this energy to facilitate the uptake of glucose, demonstrating a vital mechanism of nutrient absorption in cells.