document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181570>Question 181570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> using elimination<BR>\n" );
document.write( "4x-3y=-2<BR>\n" );
document.write( " 6x+4y=31 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136161 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Multiply the first equation by 4, then multiply the second equation by 3.  That will make the coefficients on <i>y</i> in the two equations additive inverses.\r<BR>\n" );
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document.write( "Next, add the two equations term by term to eliminate (hence the name of the method) the <i>y</i> variable, leaving you a single equation in <i>x</i> that can be solved by ordinary algebraic means.\r<BR>\n" );
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document.write( "Once you have determined the value of <i>x</i>, substitute that value into either of the original equations and then solve the resulting single-variable equation in <i>y</i>.\r<BR>\n" );
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document.write( "The <i>x</i> and <i>y</i> values determined above will give you the coordinates of the ordered pair that represents the single element of the solution set to the system of equations.\r<BR>\n" );
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document.write( "Note:  In the event that the elimination process results in a trivial identity, i.e. 0 = 0, then you have a system of two equations that represent the same straight line in <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large R^2\"> meaning that you have infinite solutions to the system.  In the event that the elimination process results in an absurdity, such as 0 = 3, then you have the representation of two parallel lines and the solution set for the system is empty.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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