If we know a system of equations is underdetermined, does the system have any solutions?

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If we know a system of equations is underdetermined, does the system have any solutions?

Mathematics
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Yes... it has multiple or infinite number of solutions.. Basically the two equations which represent two lines were the same lines, so they actually lie on top of each other, that is why you have multiple solutions.
ok, here is my problem. I have a system of equations with 5 variables and 3 equations. Does this still have any solutions?
You would have to work it out and see. Write them down here if you want, I will look at them

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ok. Let me see: \[2x_{1}-x_{2}-x_{3}+x_{4}+x_{5}=0\] \[x_{1}-x_{2}+x_{3}+2x_{4}-3x_{5}=0\] \[3x_{1}-2x_{2}-x_{3}-x_{4}+2x_{5}=0\] Im new to this so sorry for the time taking. This is the system of equations I have

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