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 #502410 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( "1. $\"2x+%2B+3y+=+13\"$
\n" ); document.write( "2. $\"2xy+%2B+5y%5E2+-+4x%5E2+=+41\"$ \r
\n" ); document.write( "\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"2x=13-3y\"$
\n" ); document.write( "Substitute,
\n" ); document.write( " $\"2xy+%2B+5y%5E2+-+4x%5E2+=+41\"$
\n" ); document.write( " $\"2xy+%2B+5y%5E2+-+%282x%29%5E2+=+41\"$
\n" ); document.write( " $\"%2813-3y%29y%2B5y%5E2-%2813-3y%29%5E2=41\"$
\n" ); document.write( " $\"13y-3y%5E2%2B5y%5E2-%289y%5E2-78y%2B169%29=41\"$
\n" ); document.write( " $\"%28-3%2B5-9%29y%5E2%2B%2813%2B78%29y-169=41\"$
\n" ); document.write( " $\"-7y%5E2%2B91y-210=0\"$
\n" ); document.write( " $\"y%5E2-13y%2B30=0\"$
\n" ); document.write( " $\"%28y-3%29%28y-10%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"y-3=0\"$
\n" ); document.write( " $\"y=3\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"2x=13-3%283%29\"$
\n" ); document.write( " $\"2x=13-9\"$
\n" ); document.write( " $\"2x=4\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y-10=0\"$
\n" ); document.write( " $\"y=10\"$
\n" ); document.write( " $\"2x=13-3%2810%29\"$
\n" ); document.write( " $\"2x=13-30\"$
\n" ); document.write( " $\"x=-17%2F2\"$
\n" ); document.write( " \n" ); document.write( "

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