document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183947>Question 183947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate to a system of equations and solve.\r<BR>\n" );
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document.write( "The sum of two numbers is 14. Six times the first number minus three times the second number is 3. 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 #138158 by </B><A HREF=/tutors/aboutme.mpl?userid=eperette><B>eperette(173)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=eperette><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=138158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = 14<BR>\n" );
document.write( "6x - 3y = 3\r<BR>\n" );
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document.write( "there are two ways to solve for this, i will use the elimination method:<BR>\n" );
document.write( "3( x + y = 14)<BR>\n" );
document.write( "6x - 3y = 3\r<BR>\n" );
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document.write( "3x + 3y = 42<BR>\n" );
document.write( "6x - 3y = 3<BR>\n" );
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document.write( "9x + 0 = 45<BR>\n" );
document.write( "9x/9 = 45/9<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "then:<BR>\n" );
document.write( "x + y = 14<BR>\n" );
document.write( "5 + y = 14<BR>\n" );
document.write( "5 - 5 + y = 14 - 5<BR>\n" );
document.write( "0 + y = 9\r<BR>\n" );
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document.write( "so the numbers are:  5 and 9<BR>\n" );
document.write( "check: <BR>\n" );
document.write( "5 + 9 = 14<BR>\n" );
document.write( "6(5) - 3(9) = 30 - 27 = 3<BR>\n" );
document.write( "answer is correct  </SPAN>\n" );
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