1. The problem statement, all variables and given/known data Suppose A is m*n matrix b1 and b2 are m*1 vector and the systems Ax=b1 and Ax=b2 are consistent. Is the system Ax=b1+b2 necessarily consistent? 2. Relevant equations 3. The attempt at a solution I think Ax = b1 + b2 should be consistent but i dont know how to prove..