I don't have a single clue... go on wikipedia to find out!
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There is no such thing as "solving integers". You can solve an equation, which means finding all the unknowns in that equation, but you can't solve an integer.
NO!
An integer is a fraction if, in its lowest terms, the denominator is 1.
You first have to get rid of the numbers that don't have variables. then you divide by the variable and solve for it.
A number answer can be correctly solved by whatever numbers happen to solve it, with no restrictions as to what type of numbers they may be: fractional, rational, real, etc. An integer answer requires that the result be expressed only as an integer, which is a positive or negative whole number (including zero). As such, integer answers are a subset of number answers.