Van egy biciklim. – I have a bicycles. (There is my one bicycle.)

Nincs pénzem. – I have no money. (There is not my money.)

Van egy házam. – I have a house. (There is my house.)

Nincs barátom. I have no friend. (There is not my friend.)

Van két főnököm. – I have two bosses. (There is my two boss.)

Van két biciklid. – You have two bicycles. (There is your two bicycle.)

Nincs házad. – You have no house. (There is not your two bicycle.)

Van sok pénzed. – You have a lot of money. (There is a lot of your money.)

Van sok barátod. – You have a lot of friends. (There is a lot of your friend.)

Van egy főnököd. – You have a boss. (There is your boss.)

Van egy háza. – He/she/it has a house. (There is his/her/its one house.)

Nincs barátja. – He/she/it has no friends. (There is not his/her/its friend.)

Nincs szeme. – He/she/it has no eyes. (There is not his/her/its eye.)

Van biciklije. – He/she/it has a bicycle. (There is not his/her/its bicycle.)

Van három biciklink. – We have three bicycles. (There is our three bicycle.)

Van két házunk. – We have two houses. (There is our two house.)

Van két szemünk. – We have two eyes. (There is our two eye.)

Van négy biciklitek. – You (plural) have four bicycles. (There is your (plural) four bicycle.)

Van két szemetek. – You (plural) have two eyes. (There is your (plural) two eye.)

Nincs autótok. – You (plural) have no car. (There is not your (plural) car.)

Van sok barátotok. – You (plural) have a lot of friends. (There is a lot of your (plural) friend.)

Van négy házatok. – You (plural) have four houses. (There is your (plural) four house.)

Nincs időtök. – You (plural) have no time. (There is not your (plural) time.)

Van két főnökötök. – You (plural) have two bosses. (There is your (plural) two boss.)

Van három házuk. – They have three houses. (There is their three house.)

Van három autójuk. – They have three cars. (There is their three car.)

Van két szemük. – They have two eyes. (There is their two eye.)

Van két biciklijük. – They have two bicycles. (There is their two bicycle.)

There are two groups of vowels in Hungarian:

• back (low) vowels: a, á, o, ó, u, ú
• front (high) vowels: e, é, i, í, ö, ő, ü, ű

As a rule of the thumb, the vowels in the ending (including the linking vowels) depend on the last vowel of the stem as follows: a back vowel in the stem is followed by back vowels, and a front vowel is followed by front vowels.

(Actually, the unrounded front vowels – i and í, as well as é and e – are neutral or transparent. This means that if there are transparent vowels at the end of the stem, they won’t influence the following vowels, and the last non-transparent vowel determines the ending instead. In other words, the ending will mostly have a back vowel after netural vowels.)

This phenomenon is called vowel harmony, and it is true for almost all endings in Hungarian. Vowel harmony is present in some other languages: http://en.wikipedia.org/wiki/Vowel_harmony