document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930760>Question 930760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of 2 numbers is 18. One number is 5 more than twice the other. FInd 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 #565274 by </B><A HREF=/tutors/aboutme.mpl?userid=rcdodds><B>rcdodds(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rcdodds><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=rcdodds><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's turn these word problems into equations that we can solve.<BR>\n" );
document.write( "The first sentence tells us that x-y=18, if we allow x and y to be the numbers we're looking for. The second sentence tells us that x=2y+5.\r<BR>\n" );
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document.write( "From here we insert the second equation into the first equation and solve.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=18 ALIGN=MIDDLE  ALT=\"x-y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B5-y=18 ALIGN=MIDDLE  ALT=\"2y%2B5-y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=18 ALIGN=MIDDLE  ALT=\"y%2B5=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=13 ALIGN=MIDDLE  ALT=\"y=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then we plug this back into the first equation and solve.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=18 ALIGN=MIDDLE  ALT=\"x-y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-13=18 ALIGN=MIDDLE  ALT=\"x-13=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=31 ALIGN=MIDDLE  ALT=\"x=31\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So our numbers are 13 and 31, which we can check by plugging them back into the equations. </SPAN>\n" );
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