document.write( "Question 168241This question is from textbook Principles of Elementary Algebra with Applications
\n" ); document.write( ": One number is 7 more than another number. Find the two numbers if three times the larger number exceeds four times the smaller number by 5.\r
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\n" ); document.write( "\n" ); document.write( "No clue where to start or begin!!! Help me please!!!! Thank you!!
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Algebra.Com's Answer #124000 by josmiceli(19441)\"\" \"About 
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Call the larger number \"a\"
\n" ); document.write( "Call the smaller number \"b\"
\n" ); document.write( "Given:
\n" ); document.write( "(1) \"a+=+b+%2B+7\"
\n" ); document.write( "(2) \"3a+=+4b+%2B+5\"
\n" ); document.write( "Substitute \"a\" in (1) for \"a\" in (2)
\n" ); document.write( "(2) \"3%2A%28b+%2B+7%29+=+4b+%2B+5\"
\n" ); document.write( "\"3b+%2B+21+=+4b+%2B+5\"
\n" ); document.write( "Subtract \"3b\" from both sides
\n" ); document.write( "Subtract \"5\" from both sides
\n" ); document.write( "\"b+=+16\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"a+=+b+%2B+7\"
\n" ); document.write( "\"a+=+16+%2B+7\"
\n" ); document.write( "\"a+=+23\"
\n" ); document.write( "The larger number is 23 and the smaller number is 16
\n" ); document.write( "check:
\n" ); document.write( "(1) \"a+=+b+%2B+7\"
\n" ); document.write( "\"23+=+16+%2B+7\"
\n" ); document.write( "\"23+=+23\"
\n" ); document.write( "(2) \"3a+=+4b+%2B+5\"
\n" ); document.write( "\"3%2A23+=+4%2A16+%2B+5\"
\n" ); document.write( "\"69+=+64+%2B+5\"
\n" ); document.write( "\"69+=+69\"
\n" ); document.write( "OK
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