Question 202209
I can tell some general things about  {{{xy = 10}}}
The graph is confined to the 1st and 3rd quadrants
(+)(+) solutions exist
(-)(+) no solutions exist
(-)(-) solutions exist
(+)(-) no solutions exist
Neither {{{x}}} nor {{{y}}} can be {{{0}}}
In both 1st and 3rd quadrants, the curves are 
symmetrical about the line {{{y = x}}} because
if I replace {{{x}}} with {{{y}}} and {{{y}}} with {{{x}}},
the equation doesn't know the difference
I'll graph it along with {{{y=x}}}
 {{{ graph( 400, 400, -10, 10, -10, 10, 1/x, x) }}}