document.write( "Question 960117: Solve for x and y simultaneously x+y=2 and 3x^2+4xy+y^2=6 \n" ); document.write( "

Algebra.Com's Answer #586980 by Fombitz(32388) $\"\"$ $\"About$

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$\"x%2By=2+\"$
\n" ); document.write( " $\"x=2-y\"$
\n" ); document.write( " $\"x%5E2=4-4y%2By%5E2\"$
\n" ); document.write( "Substitute,
\n" ); document.write( " $\"3%284-4y%2By%5E2%29%2B4%282-y%29y%2By%5E2=6\"$
\n" ); document.write( " $\"12-12y%2B3y%5E2%2B8y-4y%5E2%2By%5E2=6\"$
\n" ); document.write( " $\"12-4y=6\"$
\n" ); document.write( " $\"-4y=-6\"$
\n" ); document.write( " $\"y=6%2F4\"$
\n" ); document.write( " $\"highlight%28y=3%2F2%29\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x=2-%283%2F2%29\"$
\n" ); document.write( " $\"x=4%2F2-3%2F2\"$
\n" ); document.write( " $\"highlight%28x=1%2F2%29\"$
\n" ); document.write( " \n" ); document.write( "

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