document.write( "Question 1054564: I'm struggling with this problem...
\n" ); document.write( "The sum of an integer and twice a smaller integer is 14. if the smaller integer is subtracted from twice the larger integer, the differences is 8. what are the two integers?
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Algebra.Com's Answer #669769 by josmiceli(19441)\"\" \"About 
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Let the larger integer = \"+a+\"
\n" ); document.write( "Let the smaller integer = \"+b+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) \"+a+%2B+2b+=+14+\"
\n" ); document.write( "(2) \"+2a+-+b+=+8+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply both sides of (2) by \"+2+\"
\n" ); document.write( "and add (1) and (2)
\n" ); document.write( "(2) \"+4a+-+2b+=+16+\"
\n" ); document.write( "(1) \"++a+%2B+2b+=+14+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+5a+=+30+\"
\n" ); document.write( "\"+a+=+6+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+2b+=+14+\"
\n" ); document.write( "(1) \"+6+%2B+2b+=+14+\"
\n" ); document.write( "(1) \"+2b+=+8+\"
\n" ); document.write( "(1) \"+b+=+4+\"
\n" ); document.write( "----------------------
\n" ); document.write( "The integers are 6 and 4
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+2a+-+b+=+8+\"
\n" ); document.write( "(2) \"+2%2A6+-+4+=+8+\"
\n" ); document.write( "(2) \"+12+-+4+=+8+\"
\n" ); document.write( "(2) \"+8+=+8+\"
\n" ); document.write( "OK
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