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A problem and a solution are not synonyms or antonyms, but rather concepts that are related. A problem is a challenge or difficulty that needs to be solved, while a solution is the resolution or answer to that problem. They are not homophones, as they do not sound alike.
It depends on the problem but the solution is always the answer.
The Solution is the Answer!°
There is the solution to a puzzle. There is a chemical solution There is an alloy There is a solution to an equation There is a solution to a problem
there is no linear equations that has no solution every problem has a solution