Question 103320
Let a={{{x/3}}}
    b={{{y/2}}}

Then,

{{{x/3+y/2=-3}}}------------------------{{{a+b=-3}}}
{{{x/3+3*y=-8}}}-----------------------{{{a+6*b=-8}}}
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{{{-5*b=5}}}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{{{b=-1}}}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{{{a+(-1)=-3}}}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{{{a=-2}}}
{{{-2=x/3}}}
{{{x=-6}}}
{{{-1=y/2}}}
{{{y=-2}}}
Therefore, the solution set is (x,y)=(-6,-2)