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I know what people tend to call constants and variables in something like:

ax + by = c, where you'd call x and y a variable and a,b,c constants.

...But aren't a and b subject to change just as much as x and y?

And x and y just represent a SINGLE VALUE, not many values! They don't "vary".

So isn't everything a constant?

x is supposed to represent some number, or in other words, some CONSTANT.

Also, why is it that in ∫ f(x)dx = F(x) + C, C is called the constant while x is a variable?