Fáradt vagyok, mégis dolgozom.

Hungarian often drops subject pronouns when the verb ending already shows who the subject is.

• vagyok = I am
• dolgozom = I work / I am working

So én (I) is not necessary here. You could say Én fáradt vagyok, mégis dolgozom, but that would usually add emphasis, something like I am tired, yet I’m working.

In neutral Hungarian word order, the predicate adjective usually comes before the verb van (to be).

So:

• fáradt vagyok = I am tired

This is the normal, natural order.
If you changed the order, it would usually sound marked, poetic, or strongly emphasized in some context.

Vagyok is the 1st person singular present tense form of van (to be).

Some key forms are:

• vagyok = I am
• vagy = you are
• van = he/she/it is
• vagyunk = we are
• vagytok = you are
• vannak = they are

So in fáradt vagyok, the word vagyok already tells you the subject is I.

Here mégis means nevertheless, still, or even so.

It introduces a contrast:

• Fáradt vagyok = I am tired
• mégis dolgozom = yet / nevertheless I work

So the idea is: I’m tired, but in spite of that, I’m working.

A useful nuance:

• de = but
• mégis = yet / nevertheless / despite that

So mégis often sounds a bit stronger and more like in spite of the previous fact.

Yes. That is grammatical and natural.

But there is a small difference in nuance:

• de = plain contrast, but
• mégis = stronger concession, yet / nevertheless / even so

So:

• Fáradt vagyok, de dolgozom. = I’m tired, but I’m working.
• Fáradt vagyok, mégis dolgozom. = I’m tired; nevertheless, I’m working.

The version with mégis highlights the surprising or contrary nature of the second clause more strongly.

Because this sentence contains two clauses:

• Fáradt vagyok
• mégis dolgozom

In Hungarian, clauses like these are normally separated by a comma, especially when linked by a contrastive connector such as mégis.

Dolgozom is the 1st person singular present tense form of dolgozni (to work).

So:

• dolgozom = I work / I am working

Hungarian present tense can often cover both the English simple present and present continuous, depending on context.

Both forms may be heard, but dolgozom is the standard form.

For many verbs, Hungarian has standard -om/-em/-öm type endings in 1st person singular in certain verb classes, and dolgozom is the accepted standard form.

So for learners, dolgozom is the form to use.

Yes, it is in the present tense.

Hungarian present tense often corresponds to both:

• I work
• I am working

Which one is meant depends on context. In this sentence, English would often naturally translate it as:

• I’m tired, yet I’m working.

But grammatically, Hungarian does not need a separate form like English am working here.

Yes, Hungarian word order is flexible, but changes in word order often change emphasis rather than basic meaning.

The given sentence:

• Fáradt vagyok, mégis dolgozom.

is a very natural neutral version.

If you move words around, you may emphasize something different. For example:

• Mégis dolgozom. puts more focus on the fact that nevertheless, I am working.
• Én mégis dolgozom. emphasizes I in contrast to someone else.

So word order in Hungarian is not random; it is strongly connected to focus and emphasis.

A rough pronunciation guide:

• fáradt ≈ FAA-rawd
• vagyok ≈ VO-yok
• mégis ≈ MAY-gish
• dolgozom ≈ DOL-go-zom

A few useful sound notes:

• á is a long vowel, like a longer a
• gy is a soft consonant, somewhat like the dy sound in British duke for some speakers
• s in Hungarian sounds like English sh
• zs sounds like the s in measure

So mégis ends with a sh sound, not an English s sound.