In a solution like this, the "x coordinate" denotes the value of x for which both functions output the same value, and the "y coordinate" denotes what that output value actually is.
Consider the following example:
f(x) = 1/(x+1)
g(x) = ex
If we were to look for the intersection of these two functions, we would get the ordered pair (0,1). This informs us that both functions take the same value when evaluated at x = 0 (that is, f(0) = g(0), as desired) and that both functions take the value of 1 for that input (that is, f(0) = 1 and g(0) = 1).
The fact that the solution contains both coordinates reflects the fact that if we know the two functions have the same value for a given input value (x), then we necessarily know the output value of both functions for that input (because they must be the same).
I hope this helps!