Question 859794
Substitute
{{{ a=1/x}}}, {{{b=1/y}}}
Then the equations become,
{{{2a+3b=16}}}
{{{a+b=7}}}
Now they're just regular linear equations you can solve using elimination.
Once you find {{{a}}} and {{{b}}}, take the reciprocals and you'll have {{{x}}} and {{{y}}}.