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## Homework Statement

If the system Ax=b has two known solutions, x

_{1}and x

_{2}, true or false that another solution exists. If it does, find another solution.

## Homework Equations

## The Attempt at a Solution

I think it's true. But after that, I don't know.

I'm really lost, but I think I remember learning that given two solutions, any linear combination of the two is also a solution. Does that mean that x

_{1}+x

_{2}is a solution?

I'm worried that that is actually a solution to Ax=2b, though.