Question 1089994
<pre><font siz=4><b>
{{{system(n^x*n^y=n^12,n^x/n^y=n^6)}}}

{{{system(n^(x+y)=n^12,n^(x-y)=n^6)}}}


{{{system(x+y=12,x-y=6)}}}

Add the two equations term by term:

{{{2x=18}}}

{{{x=9}}}

{{{x+y=12}}}
{{{9+7=12}}}
{{{y=3}}}

{{{system(n^9*n^3=n^12,n^9/n^3=n^6)}}}

Edwin</pre>