document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234152>Question 234152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the larger of two numbers is 5 less than twice the smaller number. the sum of the two numbers is 28. what are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172694 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have two equations in two variables in this case.\r<BR>\n" );
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document.write( "Let y = larger number\r<BR>\n" );
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document.write( "Let x = smaller number\r<BR>\n" );
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document.write( "The larger of two numbers is 5 less than twice the smaller number.  This can be written as y = 2x - 5.\r<BR>\n" );
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document.write( "The sum of the two numbers is 28. This can be written as x + y = 28\r<BR>\n" );
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document.write( "Here are the two equations:\r<BR>\n" );
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document.write( "y = 2x - 5...equation A<BR>\n" );
document.write( "x + y = 28...equation B\r<BR>\n" );
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document.write( "I will replace y in equation B with its value given in equation A to find x.\r<BR>\n" );
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document.write( "x + (2x - 5) = 28\r<BR>\n" );
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document.write( "3x - 5 = 28\r<BR>\n" );
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document.write( "3x = 28 + 5\r<BR>\n" );
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document.write( "3x = 33\r<BR>\n" );
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document.write( "x = 33/3\r<BR>\n" );
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document.write( "x = 11\r<BR>\n" );
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document.write( "The smaller number is 11.\r<BR>\n" );
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document.write( "To find y, let x = 11 in either equation A or B (your choice) and solve for y.\r<BR>\n" );
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document.write( "I will use x + y = 28 to find y.\r<BR>\n" );
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document.write( "Let x = 11\r<BR>\n" );
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document.write( "11 + y = 28\r<BR>\n" );
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document.write( "y = 28 -11\r<BR>\n" );
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document.write( "y = 17\r<BR>\n" );
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document.write( "The larger nuber is 17.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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