Can linprog output more than one solution?

Can you output multiple solutions when running linprog? I am solving a system of equations with 12 design variables and seven equality constraints. As of now, it only outputs one solution.

[Matt J]

A linear program will either have a unique solution or an infinite continuum of them (due to the convexity of the problem). So, the first question would be, if linprog could return more than one solution, which of the uncountably infinite solutions would you want?

[John D'Errico]

The one on the left.

[Matt J]

In the past, I've had people say "all of them"...