Mathematically you check your solution to make sure you have the correct answer. In some cases the slightest miscalculation could cause a disaster or you could end up with low marks in school
Scientifically it could cause an even larger disaster if you add the wrong amounts of elements together.
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Because you may have read the question wrong
Checking your solution in the original equation is always a good idea,simply to determine whether or not you made a mistake.If your solution doesn't make the original equation true, then it's wrong.
That depends a lot on what exactly you want to check. For example:* You can check a division, by doing the corresponding multiplication. * You can check the solutions to an equation, by replacing the variable with the purported solution and doing the calculations.
Analytical solution is exact, while a numeric solution is almost always approximate
included would be the solution...