document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=522870>Question 522870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 18. if twice the smaller number is 6 more than the larger, find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347056 by </B><A HREF=/tutors/aboutme.mpl?userid=umail08><B>umail08(87)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=umail08><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=umail08><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = smaller number<BR>\n" );
document.write( "Let y = larger number\r<BR>\n" );
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document.write( "x + y = 18   ... represents the sum of two numbers\r<BR>\n" );
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document.write( "2x = y + 6   .... twice smaller is 6 more than the larger\r<BR>\n" );
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document.write( "Solve using system of equations:\r<BR>\n" );
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document.write( "1)  x + y = 18<BR>\n" );
document.write( "2)  2x = y + 6\r<BR>\n" );
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document.write( "1) x + y = 18<BR>\n" );
document.write( "2) 2x - y = 6 \r<BR>\n" );
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document.write( "        3x = 24  ... add the two equations ... the y variables cancel out...<BR>\n" );
document.write( "        3x/3 = 24/3<BR>\n" );
document.write( "          x = 8  ... smaller number\r<BR>\n" );
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document.write( "1)  x + y = 18<BR>\n" );
document.write( "    8 + y = 18<BR>\n" );
document.write( "        y = 18 - 8<BR>\n" );
document.write( "        y = 10  .... larger number </SPAN>\n" );
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