1. The problem statement, all variables and given/known data If the system Ax=b has two known solutions, x1 and x2, true or false that another solution exists. If it does, find another solution. 2. Relevant equations 3. The attempt at a solution I think it's true. But after that, I don't know. I'm really lost, but I think I remember learning that given two solutions, any linear combination of the two is also a solution. Does that mean that x1+x2 is a solution? I'm worried that that is actually a solution to Ax=2b, though.