Linear Algebra explanation?

[LighterOfDoobies]

Why can't a 1-by-3 system have x [subscript(p)] = (2,4,0) and x [subscript(n)] = any multiple of (1,1,1)?

 

[tkhunny]

You tell me. Come on, LighterOfDoobies, please throw us a bone. No one wants to do your homework for you.

RBGTHGANH