document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242261>Question 242261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twice a first number plus a second number is 18. The first number is five less than three times the second number. Find the numbers. Show equations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177343 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=177343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x + y = 18<BR>\n" );
document.write( "x = 3y - 5\r<BR>\n" );
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document.write( "Those are your equations.\r<BR>\n" );
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document.write( "Can you finish now?\r<BR>\n" );
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document.write( "I got your e-mail.  Here is the entire problem solved.\r<BR>\n" );
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document.write( "Good morning.  I got your reply lasy night.  Here is how we do your math problem.\r<BR>\n" );
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document.write( "Twice a first number plus a second number is 18. The first number is five less than three times the second number. Find the numbers. Show equations.\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "Let x = one number\r<BR>\n" );
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document.write( "let y = the other number\r<BR>\n" );
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document.write( "2x + y = 18<BR>\n" );
document.write( "x = 3y - 5\r<BR>\n" );
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document.write( "I will use the substitution method, which is the easiest to follow.\r<BR>\n" );
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document.write( "Plug 3y - 5 into the other equation and solve for y.\r<BR>\n" );
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document.write( "2(3y - 5) + y = 18\r<BR>\n" );
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document.write( "6y - 10 + y = 18\r<BR>\n" );
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document.write( "7y = 18 + 10\r<BR>\n" );
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document.write( "7y = 28\r<BR>\n" );
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document.write( "y = 28/7\r<BR>\n" );
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document.write( "y = 4\r<BR>\n" );
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document.write( "Since we now know y = 4, we plug 4 for y into EITHER of the original equations created from the word problem.\r<BR>\n" );
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document.write( "I will use x = 3y - 5.\r<BR>\n" );
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document.write( "Let y = 4\r<BR>\n" );
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document.write( "x = 3(4) - 5\r<BR>\n" );
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document.write( "x = 12 - 5\r<BR>\n" );
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document.write( "x = 7\r<BR>\n" );
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document.write( "The numbers are 4 and 7.\r<BR>\n" );
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document.write( "Did you follow?\r<BR>\n" );
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document.write( "Guido\r<BR>\n" );
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document.write( " </SPAN>\n" );
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