Sure you can substitute that. You just have to be careful to avoid division by zero - but the same may happen with other numbers as well. For example:
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0
-8 + 13/N, where N ≠0.
1/x + 2, provided x is not 0. If x is 0, the expression is undefined.
Yes they can, for example quadratic expressions are often written in the form, ax^2+bx+c, where x is a variable, and a,b,c are constants. If you have an expression such as 5x^2 - 3, then clearly a=5, c=-3 and b=0
undefined means you can not do the operation (5/0 is undefined) no solution refers to an equation not having an answer. a solution is a number which you can plug into the variable of an equation and get a true statement. So having no solution means there is no number which you can plug in and get a true statement. As a fraction is not an equation, but an expression it is not right to say that 5/0 has no solution. There is no variable in 5/0, nothing to plug into to get a true or false statement.