document.write( "Question 752127: solve the simultaneous equation x+y = 14
\n" ); document.write( " xy = 45 \n" ); document.write( "

Algebra.Com's Answer #457567 by unlockmath(1688) $\"\"$ $\"About$

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Hello,
\n" ); document.write( "x+y = 14
\n" ); document.write( "xy = 45
\n" ); document.write( "Let's work on second equation by setting it to x:
\n" ); document.write( "x=45/y
\n" ); document.write( "Now substitute in in the first equation:
\n" ); document.write( "45/y+y=14
\n" ); document.write( "Multiply by y to get:
\n" ); document.write( "45+y^2=14y
\n" ); document.write( "Subtract 14y and factor:
\n" ); document.write( "y^2-14y+45=0
\n" ); document.write( "(y-9)(y-5)=0
\n" ); document.write( "Solve for y:
\n" ); document.write( "y=9
\n" ); document.write( "y=5
\n" ); document.write( "So now we know x can equal 5 or 9.
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
\n" ); document.write( "www.math-unlock.com \n" ); document.write( "

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