Question 954050
Different choice in variables,
{{{system(x+y=16,p=xy)}}} using p as a function of either x or y.


{{{p=x(16-x)}}}
Maximum should occur in the middle of the roots of p.
{{{x(16-x)=0}}}
Roots are 0 and 16.
The vertex, for the exact middle of 0 and 16, will be at x=8.
This means {{{x+y=16}}}
{{{y=16-x}}}
{{{y=16-8}}}
{{{y=8}}}


The two number, both 8.