document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86457>Question 86457</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the sum is 3. What are the two integers?\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62555 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=one integer<BR>\n" );
document.write( "1/2 of one integer=(1/2)(x) or x/2<BR>\n" );
document.write( "Then x+1=next consecutive integer<BR>\n" );
document.write( "3/5 of the next consecutive integer=(3/5)(x+1)\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "(3/5)(x+1)-x/2=3  multiply each term by 10 to get rid of fractions<BR>\n" );
document.write( "(Note:  (3/5)(x+1) is one term.  When we multiply it by 10, we get:(3/5)(10)(x+1) and this equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%29%2810%29%2F5%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28%283%29%2810%29%2F5%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%29%282%29%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28%283%29%282%29%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this equals 6(x+1))\r<BR>\n" );
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document.write( "6(x+1)-5x=30  get rid of parens\r<BR>\n" );
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document.write( "6x+6-5x=30  subtract 6 from both sides\r<BR>\n" );
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document.write( "x=24--------------------------------one integer\r<BR>\n" );
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document.write( "x+1=24+1=25------------------------------------next consecutive integer\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "6x+6-6-5x=30-6  collect like terms<BR>\n" );
document.write( "3/5(25)-1/2(24)=3<BR>\n" );
document.write( "15-12=3<BR>\n" );
document.write( "3=3\r<BR>\n" );
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document.write( "Hope this helps------ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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