Under the background of dual-carbon goals, energy transition in rural areas has become a critical element in achieving green development. Traditional agricultural machinery in rural China, such as tractors and harvesters, heavily relies on fossil fuels, necessitating a shift toward low-carbon and sustainable development models represented by electric agricultural machinery. This transition promoted the utilization of renewable energy and provided an environmentally friendly solution for sustainable agricultural development. Considering the abundance of renewable resources like solar energy and biomass in rural areas, as well as the operational characteristics of agricultural machinery and flexible agricultural loads, a planning method for a rural energy system integrating biomass and solar energy with electrified agricultural machinery was proposed. Firstly, the framework of rural energy system considering electric farm machines was constructed, and the load of electric farm machines and the flexible load of agriculture were modeled and analyzed at the same time. Secondly, an optimization model was established with the objectives of minimizing economic costs and carbon emissions, and solved collaboratively by using the non-dominated sorting genetic algorithm Ⅱ (NSGA-Ⅱ) and the commercial solver Gurobi. Finally, a planning simulation was carried out for a farm in Northeast China. Results showed that introducing electric agricultural machinery and agricultural flexible loads reduced total system costs by 24% and carbon emissions by 46% under the condition of considering the purchase of electric agricultural machinery.