document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5254>Question 5254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you get the x and y varibles in this problem<BR>\n" );
document.write( "4x - 3y = 12<BR>\n" );
document.write( "x + 2y = 14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2665 by </B><A HREF=/tutors/aboutme.mpl?userid=xcentaur><B>xcentaur(357)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=xcentaur><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=2665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x - 3y = 12<BR>\n" );
document.write( "x + 2y = 14<BR>\n" );
document.write( "<P><BR>\n" );
document.write( "Multiplying eqn1 by 2 and eqn2 by 3 we get,<BR>\n" );
document.write( "8x - 6y = 24<BR>\n" );
document.write( "3x + 6y = 42<BR>\n" );
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document.write( "Adding the two eqns we get<BR>\n" );
document.write( "11x=66<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "<P><BR>\n" );
document.write( "from eqn2 we get,2y=14-x,y=(14-x)/2<BR>\n" );
document.write( "y=(14-6)/2=8/2=4<BR>\n" );
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document.write( "hence,<BR>\n" );
document.write( "x=6,y=4<BR>\n" );
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document.write( "Hope this helps,<BR>\n" );
document.write( "good luck. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );