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A solution is an answer that satisfies the conditions of the problem posed. For example 4 is the solution to 3+1, since 3+1=4. A problem may have more than one solution, or maybe zero solutions. The problem "When x squared equals 4, what values can x take?" Has two solutions, namely ±2. But the problem "What x gives 3x>9" has infinite solutions, just pick any number greater than 3. For the two equations x+y=1 and x+y=2 there is clearly an inconsistency, so there is no solutions for x and y.

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Q: In math what is soultion?
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