You're asking about "textspeak/chatspeak" or "sms-ese".
Well, it came about from limitations of space (sms allowed only 160 characters) or time (the speed of online chat). Twitter allows only 140 characters, so in these cases there is a "need" to condense the language.
However, if a person uses this style out of context (chat/sms/twitter), such as in regular emails or on websites in general, then it makes the writer look stupid or ignorant. I'd think you were a bored teenager trying to impress his or her friends. This is a very big nuance! :D
Even among my closest and most casual friends, we don't really use this style. However, that's just us. If your (native English) friends are comfortable with using textspeak with you, then of course feel free to reply in the same way. However, please don't think this style is generally acceptable - some English students use this style because they think it is "real" or "authentic" English, but really, it gives the opposite effect. You'll see that almost none of the native English speakers on italki write this way, unless it's for a joke.
Here's a safe suggestion to follow: if you have the time and space to write something properly, then write it properly. We do appreciate people who show some care when they write! ;)