document.write( "Question 348576: Solve 4x+9y=30xy
\n" ); document.write( " 5x-3y=xy \n" ); document.write( "

Algebra.Com's Answer #249205 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4x%2B9y=30xy\"$
\n" ); document.write( " $\"9y-30xy=-4x\"$
\n" ); document.write( " $\"y%289-30x%29=-4x\"$
\n" ); document.write( "1. $\"y=%284x%29%2F%2830x-9%29\"$
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\n" ); document.write( " $\"5x-3y=xy\"$
\n" ); document.write( " $\"xy%2B3y=5x\"$
\n" ); document.write( "2. $\"y=%285x%29%2F%28x%2B3%29\"$
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\n" ); document.write( "Set eq. 1 equal to eq. 2,
\n" ); document.write( " $\"%284x%29%2F%2830x-9%29=%285x%29%2F%28x%2B3%29\"$
\n" ); document.write( " $\"4x%5E2%2B12x=150x%5E2-45x\"$
\n" ); document.write( " $\"146x%5E2-57x=0\"$
\n" ); document.write( " $\"x%28146x-57%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"highlight%28+x=0%29+\"$
\n" ); document.write( " $\"y=%285x%29%2F%28x%2B3%29=0%2F3\"$
\n" ); document.write( " $\"highlight%28y=0%29\"$
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\n" ); document.write( " $\"146x-57=0\"$
\n" ); document.write( " $\"146x=57\"$
\n" ); document.write( " $\"highlight%28x=57%2F146%29\"$
\n" ); document.write( " $\"y=%285%2857%2F146%29%29%2F%2857%2F146%2B438%2F146%29\"$
\n" ); document.write( " $\"y=%28285%2F146%29%2F%28495%2F146%29\"$
\n" ); document.write( " $\"highlight%28y=19%2F33%29\"$
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