document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499878>Question 499878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.<BR>\n" );
document.write( "-2x – 8y = 22\r<BR>\n" );
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document.write( "-6x – y = 20\r<BR>\n" );
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document.write( "What I do not understand is how do I determine what number to multiply to each equation...can someone please help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337907 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=337907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -2x -8y = 22<BR>\n" );
document.write( "-6x -y = 20<BR>\n" );
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document.write( "Multiply the first equation by -3.<BR>\n" );
document.write( "6x +24y = -66<BR>\n" );
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document.write( "Add the two equations to \"eliminate\" the 'x' variable.<BR>\n" );
document.write( "6x +24y = -66<BR>\n" );
document.write( "-6x -y = 20<BR>\n" );
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document.write( "0x +23y = -46<BR>\n" );
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document.write( "Divide both sides by 23<BR>\n" );
document.write( "y = -2<BR>\n" );
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document.write( "Now substitute this value to find 'x'.<BR>\n" );
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document.write( "-2x -8y = 22<BR>\n" );
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document.write( "-2x -8(-2) = 22<BR>\n" );
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document.write( "-2x +16 = 22<BR>\n" );
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document.write( "-2x = 6<BR>\n" );
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document.write( "x = -3<BR>\n" );
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document.write( "Graphically, the point of intersection should be:  (-3,-2).<BR>\n" );
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document.write( "To graph the original equations, convert them to slope-intercept form:<BR>\n" );
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document.write( "-2x -8y = 22<BR>\n" );
document.write( "-8y = 2x + 22<BR>\n" );
document.write( "y = -2/8*x -22/8<BR>\n" );
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document.write( "-6x -y = 20<BR>\n" );
document.write( "-y = 6x +20<BR>\n" );
document.write( "y = -6x -20<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-2%2F8%2Ax-22%2F8%2C+-6%2Ax-20%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-2%2F8%2Ax-22%2F8%2C+-6%2Ax-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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