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The question makes little general sense because the concept of slopes is appropriate when dealing with equations in only two variables.

Assuming, therefore, that there are only two variables, then either the slopes are the same or they are different,


If the slopes are the same and the intercepts are the same: there are infinitely many solutions

If the slopes are the same and the intercepts are different: there are no solutions

If the slopes are different: there is a unique solution.



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