This paper investigates general fuzzy linear systems of the form Ax = y and general dual fuzzy linear systems of the form Ax + y = Bx + z with A, B matrices of crisp coefficients and y, z fuzzy number vectors. The aim of this paper is twofold. First, by the unique least Euclidean norm solution we solve the systems with no full rank matrices ">A, B. Second, We give the new necessary and sufficient conditions for a strong fuzzy solution existence. Moreover, some numerical examples are designed.