This is going to be a different approach.
Please investigate what happens to your system if .
After doing so, try to convince yourself that is the answer.
Find b such that the homogeneous system with augmented matrix below has non-trivial solutions:
So I know a system of equations is homogeneous if all the constant terms are zero, and I know to make a nontrivial solution I need at least one variable to have a nonzero value.
My question is, what is b supposed to be? Is there a single number that it should end up being? Or can it be 1 or 2 or 3, etc.?