document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217053>Question 217053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need help with a problem involving systems of linear equations, addition (elimination)method. The answer to the problem is ( 2,1) according to the back of my text book but everything I have tried has resulted in different answers. I would greatly appreciate your help with this one and Thanks. <BR>\n" );
document.write( "Here's the problem:\r<BR>\n" );
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document.write( "                         3x-4y=2<BR>\n" );
document.write( "                         4x+3y=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163733 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=163733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer to the problem you posted is definitely not (2,1)<BR>\n" );
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document.write( "3x-4y=2<BR>\n" );
document.write( "4x+3y=1<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Multiply thru the 1st equation by 3; Multiply thru the 2nd eq. by 4:<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "9x - 12y = 6<BR>\n" );
document.write( "16x + 12y = 4<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "25x = 10<BR>\n" );
document.write( "x = 2/5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute into 3x-4y = 6<BR>\n" );
document.write( "3(2/5)-4y = 6<BR>\n" );
document.write( "(6/5)-4y = 6<BR>\n" );
document.write( "-4y = 6-(6/5)<BR>\n" );
document.write( "-4y = (30/5)-(6/5)<BR>\n" );
document.write( "-4y = (24/5)<BR>\n" );
document.write( "y = -6/5<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );