I would say いきます→むかっています たべます→たべています

Both " いきます” and " たべます” are in present tense. ” いきます”　is 　です/ます style of " いく”　which means to go.　 And " たべます” is also です/ます　style of " たべる”　which means to eat. ” しています” is a progressive form or a present perfect tense. 　The present tense of "しています”　is " する”. The です/ますstyle of " する" is " します”. If my tips make you confused, I am sorry but I hope they will work well to you.