Decarbonizing the U.S. industrial and electricity sectors is key to addressing climate change, but doing so requires understanding how they interact. Many industrial processes, like making cement, steel, and aluminum, both consume a lot of energy and produce large amounts of carbon emissions. Low-carbon alternatives for these industrial processes eliminate carbon emissions with the tradeoff of using more electricity, highlighting the importance of simultaneous decarbonization of the industry and energy sectors. This study uses a multi-sector energy system model, called MACRO, to explore how investments and operations in both the industrial and power sectors can be optimized together under carbon constraints. The model includes geophysical and technological limits, such as where renewable resources are located and where industrial facilities already exist. Early results show that these geographic factors strongly influence which decarbonization strategies are practical and affordable. This research highlights the importance of modeling industrial and electricity systems together to better understand the trade-offs, challenges, and opportunities of the energy transition.