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In this tutorial, I will give an overview of hybrid quantum systems and their applications in quantum technologies. I will start by reviewing their individual components, focusing primarily on the theory of superconducting circuits, cavity optomechanics, and electromechanics. Afterwards, I will discuss a few applications of hybrid systems composed of these components. In particular, I will explain how opto-electro-mechanical systems can be used to achieve frequency conversion between microwaves and light and how electromechanical systems can be used to couple mechanical motion to superconducting quantum bits.