Iam develop a new website for my friend and he wants a news system(a news feed) where you can add/edit/remove news.
Im not so hype so i can't a get working news function. Does anyone have a finished news function/system that i can have?
Try looking at some WordPress news themes and you might find something you like.
I will not use wordpress for the site. All the functions he requires cannot be found in wordpress.
Well then a good place to start may be with what functions you require.
It may seem all good and well to say that WordPress isn't suitable, but we need more reasons.
So my new answer now is "Use Drupal with a New like theme".
Those are fairly basic functions that he is requesting. Your biggest concern, even with finished systems is to ensure that the admin page is secure and that your code in use has been checked so that you have no chinks in the armor that would leave your news system and server wide open to attack.
Here are some GitHub search results you could poke around: https://github.com/search?utf8=%E2%9C%93&q=php+news+system
wordpress is the best and easy news system. you should get some plugins for news, such as Site Layout Customizer , Page Layout Builder for wordpress 3.6.1.
FREE Themes can be found here