My boyfriend thinks i cheated i need help to get him back

About 2 weekends ago i went out with my friends… yesterday he got a call saying how I had hooked up with a guy, i tried proving to him how i didn’t, reminded him i called and texted him all night, even asked him to come with me. Since that wasnt enough i texted the guy i supposedly hooked up with and he said the same that nothing ever happened. Still that was not enough. I dont know what to do he doesnt want to believe me and i dont feel like its good for me to be explaining myself when he should just believe me but i still did. What is something i can do to make him believe me?