document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329377>Question 329377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this system algebraically:<BR>\n" );
document.write( "1/2x+2/3y=5/6<BR>\n" );
document.write( "5/12x+7/12y=3/4   <BR>\n" );
document.write( "                               </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236051 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/2 x+2/3y=5/6<BR>\n" );
document.write( "LCD is 6<BR>\n" );
document.write( "3x+2y /6 =5/6<BR>\n" );
document.write( "3x+2y=5*6/6<BR>\n" );
document.write( "3x+2y=5...................1\r<BR>\n" );
document.write( "\n" );
document.write( "5/12 x+7/12 y=3/4   <BR>\n" );
document.write( "5x+7y /12= 3/4<BR>\n" );
document.write( "5x+7y= 12*3/4<BR>\n" );
document.write( "5x+7y=9...................2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Multiply equation 1 by -5 and equation 2 by 3 and add them<BR>\n" );
document.write( "-15x-10y+15x+21y=-25+27<BR>\n" );
document.write( "11y=2<BR>\n" );
document.write( "y = 2/11<BR>\n" );
document.write( "plug the value of y in equation 1<BR>\n" );
document.write( "3x+2*2/11 =5<BR>\n" );
document.write( "3x=5-4/11<BR>\n" );
document.write( "3x=51/11<BR>\n" );
document.write( "x= 17/11 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );