Finite Element method is suitable for complex problems. If you have problem and used both methods to solve the problem, the answer should be same with small error. Further, You may have a complicated problem with no available analytical solution, Then you, must go to the finite elements methods. The question is how to validate your results ?. You need then to validate your FE results using experimental analytical results.

Both are used at the right time

Prof. Alaboodi has explained it well. Both can be useful in different genre of problems. It might not be right to compare them in general.

I absolutely agree with you, thank you for helping me.