Question 2
Does there exist a positive integer $n$ such that for every pair of real numbers $x,y$ there are nonzero real numbers $a_1,\ldots,a_n$ satisfying
$$x=a_1+\cdots+a_n,\qquad y=\frac1{a_1}+\cdots+\frac1{a_n}?$$
(5 points)
Neutral editorial illustration.
$$x=a_1+\cdots+a_n,\qquad y=\frac1{a_1}+\cdots+\frac1{a_n}?$$
(5 points)
Neutral editorial illustration.