I just need help getting started on this question. the first line (or two) is eluding me:

Let R be a relation on A and suppose that R is symmetric and transitive. Prove thefollowing:

If, for all xE A, there is yE A such that xRy, then R is an equivalence relation.

where xE A and yE A mean x and y are elements of A.

I know i have to prove reflexitivity, and I only have this written down...my mind has stopped working:

Let xE A, then R is an equivalence relation

=> (nothing written here...i'm stumped)

any help would be appreciated. Thank you