LinkedIn and Facebook are two different platforms having seperate types of audiences. Both the platforms have Billions of active users every month. It gives us opportunity to promote our brands on these platforms and get what we wants.
All platforms have potential but choosing the right one is subjective. If you want to Target decision makers or CEOs rank officers then LinkedIn can be a great choice.
You will have some better Targeting option for professionals on LinkedIn like, Company size, professional interests etc.
Facebook also offers great Targeting segment at the same time. You can do laser Targeting on Facebook and reach out to your targeted audience. It's re-targeting is crazy so chances are high people can be repurposed on Facebook and Instagram by remarketing campaign.
So it actually depends upon advertising type and your end goal. Always do a through research before finalizing any platform. All platforms have its own potential choose the best one according to your own requirements.