System of equations solver pandas

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I have this Data Frame as example:

       Col1         Col2     ...    Col5       Price
 0     Wood         Wood            Plastic     50
 1     Iron         Wood            Wood        70
                            ...
3000   Iron         Iron            Wood        110

I would like to know if it's possible to build a linear solver N equation for N unknowns (in this example to find the Price of Wood, Iron, Plastic etc..)

Many thanks !

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