As stated, x and y are variables with unknown values that can add to a sum. However, 1 is a constant, and added to itself it also produces a sum; because we know it's a constant, and we know the value of the constant, we know it always resolves to 2.

You are representing Whole Numbers when you assign one pencil, and another pencil totalling two pencils, and the properties of Whole Numbers are such that they cannot be fractions, negative, or irrational; they are simply constants of known value.

The problem with this question is that 1 and 2 are numbers while x and y are respresenations of numbers. The number 1 is always 1 while x and y could be anything. Y does not always equal x because y and x might represent different numbers at different times. A number will never change its value. 1+1 will always equal 2 because 1 and 2 will never change their value. X and y might be equal if the numbers they represent are equal. Since x and y can change their values, there might be times when they are not equal as well. Comparing 1+1 to x=y is similar to comparing a fact to an opinion. Facts cannot change just as number values cannot change.

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