Solving systems of equations for m and b when you know they are both positive?

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I am trying to make a website that runs off of this equation. I am only in algebra but I am trying to solve a systems of equation where instead of solving for $x$ and $y$ I am solving for $m$ and $b$. Here is the equation:

$$100,333.333333=m10.3333333+b$$ $$6000=(m10.333333+b)-(m5+b)$$

I solved this by solving it the same way you would solve for $x$ and $y$ and I got:

$1125=m$

$-1291.66666666=b$

For the equation to work perfectly it would be best if I could make both $m$ and $b$ positive. Is there any way that I could make it so that the equation is true but both $m$ and $b$ are positive?

Thank you for your response!

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A linear system of equations either has zero solutions, one solution or infinitely many solutions. So no, you can't find another value of $b$.