document.write( "Question 967088: 5x^2+5y^2=25\r
\n" ); document.write( "\n" ); document.write( "And
\n" ); document.write( "36y^2-4x^2=144 \n" ); document.write( "

Algebra.Com's Answer #591074 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5x%5E2%2B5y%5E2=25\"$
\n" ); document.write( " $\"x%5E2%2By%5E2=5\"$
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\n" ); document.write( " $\"36x%5E2-4y%5E2=144\"$
\n" ); document.write( " $\"9x%5E2-y%5E2=36\"$
\n" ); document.write( "Substitute from first equation,
\n" ); document.write( " $\"9x%5E2-%285-x%5E2%29=36\"$
\n" ); document.write( " $\"10x%5E2=41\"$
\n" ); document.write( " $\"x%5E2=41%2F10\"$
\n" ); document.write( " $\"x=0+%2B-+sqrt%2841%2F10%29\"$
\n" ); document.write( " $\"x=0+%2B-+sqrt%28410%29%2F10%29\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"y%5E2=5-41%2F10\"$
\n" ); document.write( " $\"y%5E2=%2850-41%29%2F10\"$
\n" ); document.write( " $\"y%5E2=9%2F10\"$
\n" ); document.write( " $\"y=0+%2B-+%283%2F10%29sqrt%2810%29%29\"$
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