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When there are countless solutions to mathematical equations, when there is a unique real number solution, and when there is no solution.
The two equations are the same (that is, two linear functions coincide), so there are countless solutions.

When the coefficients of the two equations x are the same (that is, the two functions are parallel), there is no solution at this time.

Two different equations (that is, two functions intersect) have solutions.

Higher-order equations can be transformed into functions, and there are several solutions when there are several intersections.