Does any homogeneous system have nontrivial solution?

Answer:
x+y=0
2x+2y=0

This homogeneous system has infinitely many non-trivial solutions.
If you are looking for exactly one non-trivial solution, no such system exists.
First answer by Norwiki. Last edit by Norwiki. Contributor trust: 5 [recommend contributor recommended]. Question popularity: 1 [recommend question].