Question: Solve system of equations to a (rounded) result

Hello all,

I have a system of linear equations that I need to solve. My problem is that the right hand side of the equations are numbers that are published in existing research and are thus rounded results. For example, say I have the following equation:

x + y = 0.133 and some others

What I want to do is find the range of my variables x and y such that, when the calculations are done, the result (rounded to 3 decimals) will equal 0.133. So if I get values of x and y that will add together to 0.1332 (which rounded to three decimals would be 0.133) that is good for me. I am not sure how to get this done. I could not find much on rounding beyond the environment setting either.

I have played around with using inequalities (e.g., I will accept any results that include 0.125 to 0.1334999) but I keep getting errors.

Any ideas?

Miguel