# Question: a homogeneous system of linear equations is one in which...

###### Question details

A *homogeneous* system of linear equations is one in
which all of the right-hand sides of the equations are equal to
zero. Like this:

Suppose that and are both solutions to the homogeneous system above. Show that their sum, , is also a solution to the system. Then write a short sentence explaining why any homogeneous system with at least two solutions must have an infinite number of solutions.