document.write( "Question 963937: x − y2 + 9 = 0
\n" ); document.write( "2x2 + y2 − 10 = 0\r
\n" ); document.write( "\n" ); document.write( "What are all possible solutions using the elimination method? \n" ); document.write( "

Algebra.Com's Answer #590010 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x-y%5E2%2B9=0\"$
\n" ); document.write( " $\"2x%5E2%2By%5E2-10=0\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"y%5E2=10-2x%5E2\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"x-%2810-2x%5E2%29%2B9=0\"$
\n" ); document.write( " $\"x-10%2B2x%5E2%2B9=0\"$
\n" ); document.write( " $\"2x%5E2%2Bx-1=0\"$
\n" ); document.write( " $\"%28x%2B1%29%282x-1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x%2B1=0\"$
\n" ); document.write( " $\"x=-1\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"y%5E2=10-2%281%2F4%29\"$
\n" ); document.write( " $\"y%5E2=10-1%2F2\"$
\n" ); document.write( " $\"y%5E2=19%2F2\"$
\n" ); document.write( " $\"y=0+%2B-sqrt%2819%2F2%29\"$
\n" ); document.write( " $\"y=0+%2B-sqrt%2838%29%2F2\"$
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\n" ); document.write( " $\"2x-1=0\"$
\n" ); document.write( " $\"2x=1\"$
\n" ); document.write( " $\"x=1%2F2\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"y%5E2=10-2%281%2F2%29\"$
\n" ); document.write( " $\"y%5E2=9\"$
\n" ); document.write( " $\"y=0+%2B-+3\"$
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\n" ); document.write( "( $\"-1\"$ , $\"2sqrt%282%29\"$ )
\n" ); document.write( "( $\"-1\"$ , $\"-2sqrt%282%29\"$ )
\n" ); document.write( "( $\"1%2F2\"$ , $\"sqrt%2838%29%2F2\"$ )
\n" ); document.write( "( $\"1%2F2\"$ , $\"-sqrt%2838%29%2F2\"$ )
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