document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249094>Question 249094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is 5 more than another. 5 times the smaller equals 4 times the larger. Find the numbers.\r<BR>\n" );
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document.write( "    Thank you!! I struggle with these :(  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181490 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=the first number, y=second number\r<BR>\n" );
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document.write( "The phrase \"One number is 5 more than another\" can be broken up as:\r<BR>\n" );
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document.write( "So \"One number is 5 more than another\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2By ALIGN=MIDDLE  ALT=\"x=5%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: this implies that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Ey ALIGN=MIDDLE  ALT=\"x%3Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" > ie 'y' is the smaller number.\r<BR>\n" );
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document.write( "Similarly, \"5 times the smaller equals 4 times the larger\" can be represented as\r<BR>\n" );
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document.write( "So \"5 times the smaller equals 4 times the larger\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=4x ALIGN=MIDDLE  ALT=\"5y=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have the two equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=5%2By%2C5y=4x%29 ALIGN=MIDDLE  ALT=\"system%28x=5%2By%2C5y=4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2By ALIGN=MIDDLE  ALT=\"x=5%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5=y ALIGN=MIDDLE  ALT=\"x-5=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-5 ALIGN=MIDDLE  ALT=\"y=x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=4x ALIGN=MIDDLE  ALT=\"5y=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the second equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x-5%29=4x ALIGN=MIDDLE  ALT=\"5%28x-5%29=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-5 ALIGN=MIDDLE  ALT=\"y=x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (this works since we're dealing with the same 'y').\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-25=4x ALIGN=MIDDLE  ALT=\"5x-25=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=4x%2B25 ALIGN=MIDDLE  ALT=\"5x=4x%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-4x=25 ALIGN=MIDDLE  ALT=\"5x-4x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x ALIGN=MIDDLE  ALT=\"4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=25 ALIGN=MIDDLE  ALT=\"x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-5 ALIGN=MIDDLE  ALT=\"y=x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the first isolated equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=25-5 ALIGN=MIDDLE  ALT=\"y=25-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=25 ALIGN=MIDDLE  ALT=\"x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=20 ALIGN=MIDDLE  ALT=\"y=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract.\r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=25 ALIGN=MIDDLE  ALT=\"x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=20 ALIGN=MIDDLE  ALT=\"y=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > giving us the ordered pair (25,20)\r<BR>\n" );
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document.write( "So the smaller number is 20 and the larger is 25. </SPAN>\n" );
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