document.write( "Question 353156: y+5=x
\n" ); document.write( "5x^2+y^2=81 \n" ); document.write( "

Algebra.Com's Answer #252396 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"y%2B5=x\"$
\n" ); document.write( "2. $\"5x%5E2%2By%5E2=81\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"x%5E2=%28y%2B5%29%5E2\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"5%28y%2B5%29%5E2%2By%5E2=81\"$
\n" ); document.write( " $\"5%28y%5E2%2B10y%2B25%29%2By%5E2=81\"$
\n" ); document.write( " $\"5y%5E2%2B50y%2B125%2By%5E2=81\"$
\n" ); document.write( " $\"6y%5E2%2B50y%2B44=0\"$
\n" ); document.write( " $\"3y%5E2%2B25y%2B22=0\"$
\n" ); document.write( " $\"%283y%2B22%29%28y%2B1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"3y%2B22=0\"$
\n" ); document.write( " $\"3y=-22\"$
\n" ); document.write( " $\"highlight%28+y=-22%2F3%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"x=-22%2F3%2B5\"$
\n" ); document.write( " $\"x=-22%2F3%2B15%2F3\"$
\n" ); document.write( " $\"highlight%28x=-7%2F3%29\"$
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\n" ); document.write( " $\"y%2B1=0\"$
\n" ); document.write( " $\"highlight_green%28+y=-1%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"x=-1%2B5\"$
\n" ); document.write( " $\"highlight_green%28+x=4%29\"$
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\n" ); document.write( "( $\"4\"$ , $\"-1\"$ ) and ( $\"-7%2F3\"$ , $\"-22%2F3\"$ )
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