document.write( "Question 676377: the sum of two numbers is 21. the product of these two numbers equals 90 \n" ); document.write( "

Algebra.Com's Answer #420316 by ReadingBoosters(3246) $\"\"$ $\"About$

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x+y=21
\n" ); document.write( "xy=90
\n" ); document.write( "...
\n" ); document.write( "rearrange the first equation as x = 21-y
\n" ); document.write( "substitute into the second equation
\n" ); document.write( "(21-y)y = 90
\n" ); document.write( "...
\n" ); document.write( "Distribute y
\n" ); document.write( "21y - y^2 = 90
\n" ); document.write( "...
\n" ); document.write( "0 = y^2 - 21y + 90
\n" ); document.write( "(y-15)(y-6) = 0
\n" ); document.write( "y-15=0, so y = 15
\n" ); document.write( "y-6=0, so y = 6
\n" ); document.write( "...
\n" ); document.write( "The number are $\"highlight_green%2815%29\"$ and $\"highlight_green%286%29\"$
\n" ); document.write( "...
\n" ); document.write( "Check
\n" ); document.write( "15+6 = 21
\n" ); document.write( "15(6) = 90
\n" ); document.write( ".....................
\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
\n" ); document.write( "Email: HomeworkHelpers@ReadingBoosters.com
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