document.write( "Question 845960: 2x+3y=6xy
\n" ); document.write( " x-y=xy \n" ); document.write( "

Algebra.Com's Answer #509502 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%2B3y=6xy\"$
\n" ); document.write( " $\"+x-y=xy\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"x-y=xy\"$
\n" ); document.write( " $\"x=xy%2By\"$
\n" ); document.write( " $\"x=y%28x%2B1%29\"$
\n" ); document.write( " $\"y=x%2F%28x%2B1%29\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"2x%2B3x%2F%28x%2B1%29=6x%28x%2F%28x%2B1%29%29\"$
\n" ); document.write( " $\"2x%28x%2B1%29%2B3x=6x%5E2\"$
\n" ); document.write( " $\"2x%5E2%2B2x%2B3x=6x%5E2\"$
\n" ); document.write( " $\"4x%5E2-5x=0\"$
\n" ); document.write( " $\"x%284x-5%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x=0\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=0%2F%280%2B1%29=0\"$
\n" ); document.write( "and
\n" ); document.write( " $\"4x-5=0\"$
\n" ); document.write( " $\"4x=5\"$
\n" ); document.write( " $\"x=5%2F4\"$
\n" ); document.write( "and
\n" ); document.write( " $\"y=%285%2F4%29%2F%285%2F4%2B1%29=%285%2F4%29%2F%289%2F4%29=5%2F9\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );