Sudoku question

No.11050391 ViewReplyOriginalReport
Exclaimer: this is NOT a suicide thread. Please refrain from suicideposting. Thank you.
So, i am a noob in suduko, but I like maths. And I have a question, for those who know the maths of sudoku. You know how you solve the easy sudoku puzzles by eliminating logically all the possibilities in a certain place except one, which you write down? The question is as follows: if you cannot determine the next number to write in this "noob" way, is there always at least 2 different solutions expanding on the current numbers?
Thanks for taking your time reading my post :)