Help with R solve

This question is about linear algebra theory, or perhaps linear programming, not about R. There is no magic parameter to solve this for you... either there is a non-negative solution or there isn't.
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Sent from my phone. Please excuse my brevity.

I need someone to help with solution for a system of linear equations 
A%*%x =b, where A is the coefficient matrix and b is right hand-side
constant column.  

My question is that is there any option in the qr.solve to get a
non-negative solution for x column, when more than one possible
solution happens in the system.

Thanks,
Y.L. 

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I need someone to help with solution for a system of linear equations  A%*%x =b, where A is the coefficient matrix and b is right hand-side constant column.  

My question is that is there any option in the qr.solve to get a non-negative solution for x column, when more than one possible solution happens in the system.

If you are referring to an underdetermined system of linear equations have a look here:

http://en.wikipedia.org/wiki/System_of_linear_equations

section Matrix solution.

Berend