document.write( "Question 760057: The larger of two integers is 3 more than 5 times the smaller integer. Find the two numbers if the smaller number subtracted from the larger is 31. \r
\n" ); document.write( "\n" ); document.write( "I do not know how to set this up . Thanks
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Algebra.Com's Answer #462399 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = the larger integer
\n" ); document.write( "Let \"+b+\" = the smaller integer
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\n" ); document.write( "(1) \"+a+=+5b+%2B+3+\"
\n" ); document.write( "(2) \"+a+-+b+=+31+\"
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\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+5b+%2B+3+-+b+=+31+\"
\n" ); document.write( "(2) \"+4b+=+28+\"
\n" ); document.write( "(2) \"+b+=+7+\"
\n" ); document.write( "and, since
\n" ); document.write( "(2) \"+a+-+b+=+31+\"
\n" ); document.write( "(2) \"+a+-+7+=+31+\"
\n" ); document.write( "(2) \"+a+=+38+\"
\n" ); document.write( "The numbers are 38 and 7
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+a+=+5b+%2B+3+\"
\n" ); document.write( "(1) \"+38+=+5%2A7+%2B+3+\"
\n" ); document.write( "(1) \"+38+=+35+%2B+3+\"
\n" ); document.write( "(1) \"+38+=+38+\"
\n" ); document.write( "OK
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