document.write( "Question 833257: Solve the simultaneous equation.\r
\n" ); document.write( "\n" ); document.write( " $\"2x+%2B+3y+=+13\"$
\n" ); document.write( " $\"2xy+%2B+5y%5E2+-+4x%5E2+=+41\"$
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #502413 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve the simultaneous equation.\r
\n" ); document.write( "\n" ); document.write( " $\"2x+%2B+3y+=+13\"$
\n" ); document.write( " $\"2xy+%2B+5y%5E2+-+4x%5E2+=+41\"$
\n" ); document.write( "----------
\n" ); document.write( " $\"2x+%2B+3y+=+13\"$ --> 2x = 13 - 3y
\n" ); document.write( " $\"2xy+%2B+5y%5E2+-+4x%5E2+=+41\"$
\n" ); document.write( "Sub for 2x in the 2nd eqn
\n" ); document.write( "---
\n" ); document.write( " $\"%2813-3y%29%2Ay+%2B+5y%5E2+-+%2813-3y%29%5E2+=+41\"$
\n" ); document.write( " $\"-3y%5E2+%2B+13y+%2B+5y%5E2+-+169%2B78y-9y%5E2+=+41\"$
\n" ); document.write( " $\"-7y%5E2++%2B+91y+-210+=+0\"$
\n" ); document.write( " $\"y%5E2+-+13y+%2B+30+=+0\"$
\n" ); document.write( "y = 3, 10
\n" ); document.write( "Sub for y in the 1st eqn to find x\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );