document.write( "Question 867612: I'm not sure how to solve this simultaneous second-degree equation.\r
\n" ); document.write( "\n" ); document.write( "xy=1/12
\n" ); document.write( "y+x=7xy \n" ); document.write( "

Algebra.Com's Answer #523122 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
More than one way are possible.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y%2Bx=7%281%2F12%29\"$
\n" ); document.write( " $\"x%2By=7%2F12\"$
\n" ); document.write( " $\"y=7%2F12-x\"$ .
\n" ); document.write( "Other equation,
\n" ); document.write( " $\"xy=1%2F12\"$
\n" ); document.write( " $\"x%287%2F12-x%29=1%2F12\"$
\n" ); document.write( " $\"%287%2F12%29x-x%5E2=1%2F12\"$
\n" ); document.write( " $\"7x-12x%5E2=1\"$
\n" ); document.write( " $\"-12x%5E2%2B7x-1=0\"$
\n" ); document.write( " $\"12x%5E2-7x%2B1=0\"$
\n" ); document.write( "-
\n" ); document.write( " $\"x=%287%2B-+sqrt%2849-4%2A12%2A1%29%29%2F24\"$
\n" ); document.write( " $\"x=%287%2B-+1%29%2F24\"$
\n" ); document.write( " $\"x=1%2F4\"$ OR $\"x=1%2F3\"$ ;
\n" ); document.write( "correspondingly, $\"y=1%2F%2812x%29\"$
\n" ); document.write( " $\"y=1%2F3\"$ OR $\"y=1%2F4\"$
\n" ); document.write( "-
\n" ); document.write( "The solution points for these two equations are (1/4, 1/3) and (1/3, 1/4). \n" ); document.write( "

\n" );