document.write( "Question 410183: the difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers. HELP!!!! \n" ); document.write( "

Algebra.Com's Answer #288509 by josmiceli(19441) $\"\"$ $\"About$

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Le the smaller number = $\"a\"$
\n" ); document.write( "Let the larger number = $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"b+-+a+=+15\"$
\n" ); document.write( "(2) $\"5a+=+2b+-+9\"$
\n" ); document.write( "------------
\n" ); document.write( "(1) $\"b+=+15+%2B+a\"$
\n" ); document.write( "substitute this in (2)
\n" ); document.write( "(2) $\"5a+=+2%2A%2815+%2B+a%29+-+9\"$
\n" ); document.write( "(2) $\"5a+=+30+%2B+2a+-+9\"$
\n" ); document.write( "(2) $\"3a+=+21\"$
\n" ); document.write( "(2) $\"a+=+7\"$
\n" ); document.write( "and
\n" ); document.write( " $\"b+=+15+%2B+a\"$
\n" ); document.write( " $\"b+=+22\"$
\n" ); document.write( "the numbers are 7 and 22 \n" ); document.write( "

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