# Finding basic feasible solution graphically

I'm supposed to find the basic solutions of the given LPP graphically. I know what a bfs means, I can find that in other way (I mean by method mentioned in this post), but I don't know how to do it graphically. The system is:- $$2x + 3y \leq 21$$$$3x - y \leq 15$$$$x + y \geq 5$$$$y \leq 5$$ $$x, y \geq 0$$ Any hint/solution would be appreciated. Thanks!

• Since you only have two variables you can plot each inequality in the plane and take the intersection, maybe this is what they mean by graphically? – TSF Feb 3 '19 at 13:12
• @TonyS.F. but that'll be a feasible solution. Not bfs if I'm not wrong... – Ankit Kumar Feb 3 '19 at 13:13
• It depends on which one you pick, of course. You will get a polygon of sorts in the plane and if you pick a vertex you will have BFS. – TSF Feb 3 '19 at 13:14