document.write( "Question 964466: 2x+y=2
\n" ); document.write( "xy=6\r
\n" ); document.write( "\n" ); document.write( "(x,y)=? \n" ); document.write( "

Algebra.Com's Answer #589489 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"xy=6\"$
\n" ); document.write( " $\"x=6%2Fy\"$
\n" ); document.write( "Substitute,
\n" ); document.write( " $\"2%286%2Fy%29%2By=2\"$
\n" ); document.write( " $\"12%2Fy%2By=2\"$
\n" ); document.write( " $\"12%2By%5E2=2y\"$
\n" ); document.write( " $\"y%5E2-2y%2B12=0\"$
\n" ); document.write( " $\"y%5E2-2y%2B1%2B12=1\"$
\n" ); document.write( " $\"%28y-1%29%5E2=-11\"$
\n" ); document.write( " $\"y-1=0+%2B-+sqrt%2811%29i\"$
\n" ); document.write( " $\"y=1+%2B-+sqrt%2811%29i\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"2x%2B+1%2B+sqrt%2811%29i%29=2\"$
\n" ); document.write( " $\"2x=1-sqrt%2811%29i\"$
\n" ); document.write( " $\"x=%281-sqrt%2811%29i%29%2F2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x=%281%2Bsqrt%2811%29i%29%2F2\"$
\n" ); document.write( "The solutions are,
\n" ); document.write( "( $\"%281-sqrt%2811%29i%29%2F2\"$ , $\"1+%2B+sqrt%2811%29i\"$ ) and
\n" ); document.write( "( $\"%281%2Bsqrt%2811%29i%29%2F2\"$ , $\"1+-+sqrt%2811%29i\"$ ) \n" ); document.write( "

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