Inconsistent underdetermined system

[zcd]

Homework Statement

Give an example of an inconsistent underdetermined system of two equations in three unknowns.

Homework Equations

The Attempt at a Solution

I'm confused as to what the question is asking for. Doesn't inconsistent mean that the system has no solution while underdetermined means the system has many solutions defined parametrically? The two definitions seem to contradict here.

 

[lanedance]

i think in this context underdetermined means less equations than unknowns, and inconsistent, means there are no solutions

an example might be finding the intersection of two offset parallel planes?

 

[zcd]

that makes the problem much more doable. thanks :)