document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508423>Question 508423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using the elimination method. Ff the system has no solution or an infinite number of solutions, state it -12x+27y=60, -6x-6y=30<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340981 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=340981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So, we are given two equations.  -12x +27y = 60   and -6x-6y = 30\r<BR>\n" );
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document.write( "Let's line these up\r<BR>\n" );
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document.write( "-12x + 27y = 60<BR>\n" );
document.write( "-6x -6y = 30\r<BR>\n" );
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document.write( "Notice that -12 is a multiple of -6 in our x-column.\r<BR>\n" );
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document.write( "So let's multiply the ENTIRE bottom equation by -2.  Then we will add the two equations together.  (Alternatively, we could multiply by 2 and subtract)\r<BR>\n" );
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document.write( "-12x + 27y = 60<BR>\n" );
document.write( "-2(-6x -6y = 30)\r<BR>\n" );
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document.write( "-12x + 27y = 60<BR>\n" );
document.write( "12x + 12y = -60\r<BR>\n" );
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document.write( "39y = 0\r<BR>\n" );
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document.write( "y = 0\r<BR>\n" );
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document.write( "Now substitute y =0 into any original equation to find x.\r<BR>\n" );
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document.write( "Let's use the 2nd one.\r<BR>\n" );
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document.write( "-6x - 6(0) = 30\r<BR>\n" );
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document.write( "-6x = 30\r<BR>\n" );
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document.write( "x = -5\r<BR>\n" );
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document.write( "So our solution is  (-5,0)  or  x=-5  y =0\r<BR>\n" );
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document.write( "Hope this helped!\r<BR>\n" );
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document.write( "Please e-mail me at onlyyourmathtutor@yahoo.com if this answer was not clear enough.\r<BR>\n" );
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