document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747082>Question 747082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations: 3x - y = 9 and 6x + y = 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454709 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations: 3x - y = 9 and 6x + y = 0 \r<BR>\n" );
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document.write( "We can solve the above using the Addition Method:\r<BR>\n" );
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document.write( "3x - y = 9\r<BR>\n" );
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document.write( "6x + y = 0\r<BR>\n" );
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document.write( "Add the above two equations together:\r<BR>\n" );
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document.write( "3x - y + 6x + y = 9 + 0\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "3x + 6x = 9x\r<BR>\n" );
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document.write( "-y + y = 0\r<BR>\n" );
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document.write( "9 + 0 = 9\r<BR>\n" );
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document.write( "We now have:\r<BR>\n" );
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document.write( "9x = 9\r<BR>\n" );
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document.write( "x = 1\r<BR>\n" );
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document.write( "Substitute x = 1 into the first equation 3x - y = 9\r<BR>\n" );
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document.write( "3(1) - y = 9\r<BR>\n" );
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document.write( "3 - y = 9\r<BR>\n" );
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document.write( "Subtract 3 from each side of the equation.\r<BR>\n" );
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document.write( "3 - y - 3 = 9 - 3\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "3 - 3 = 0\r<BR>\n" );
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document.write( "9 - 3 = 6\r<BR>\n" );
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document.write( "-y = 6\r<BR>\n" );
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document.write( "Divide each side by -1\r<BR>\n" );
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document.write( "-1y/-1 = 6/-1\r<BR>\n" );
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document.write( "y = -6\r<BR>\n" );
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document.write( "Plug the x and y values into equation 2 to check:\r<BR>\n" );
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document.write( "6x + y = 0\r<BR>\n" );
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document.write( "6(1) + (-6) = 0\r<BR>\n" );
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document.write( "6 + (-6) = 0\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "x = 1 and\r<BR>\n" );
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document.write( "y = -6\r<BR>\n" );
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document.write( "Lennox Obuong<BR>\n" );
document.write( "Algebra Tutor<BR>\n" );
document.write( "Nairobi, Kenya<BR>\n" );
document.write( "Email: obuong3@aol.com  </SPAN>\n" );
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