document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264216>Question 264216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is five more than three times a small one.  If four times the larger number is subtracted from twice the smaller one, the result is zero.  Find each of 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 #194562 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=194562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number is five more than three times a small one. If four times the larger number is subtracted from twice the smaller one, the result is zero. Find each of the numbers. \r<BR>\n" );
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document.write( "Let x be the smaller number and y the larger number. Then we have:\r<BR>\n" );
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document.write( "1.) y = 3x + 5<BR>\n" );
document.write( "2.) 2x - 4y = 0\r<BR>\n" );
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document.write( "Solve these equations simultaneously by substitution.\r<BR>\n" );
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document.write( "Substitute 3x + 5 for y from equation 1.) in equation 2.): \r<BR>\n" );
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document.write( "2x - 4(3x + 5) = 0<BR>\n" );
document.write( "2x - 12x - 20 = 0<BR>\n" );
document.write( "10x = -20<BR>\n" );
document.write( "x = -2\r<BR>\n" );
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document.write( "Now to find y substitute -2 for x in equation 1.).  </SPAN>\n" );
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