You can definitely have multiple versions of DirectX installed on a system at the same time, as games might require specific older DirectX components that newer versions don’t include. For Windows 7, it typically comes with DirectX 11, but you might need to manually install DirectX 9.0c for older games.
To troubleshoot, you can run the DirectX Diagnostic Tool (dxdiag) to check your current DirectX version and any possible issues. If needed, you can download the DirectX End-User Runtime Web Installer from the Microsoft website, which should update your libraries with any missing components. Also, make sure your graphics drivers are up to date, as they can sometimes cause compatibility issues with DirectX games.
These steps should help resolve most compatibility problems with older games.