document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368917>Question 368917</A>: <I><SPAN STYLE=\"word-break: break-all;\">  i need help in finding the common solution for these two systems 2x-3y=15 and x+y=6 ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262868 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "multiply second equation by 3 and add to first\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2x -3y = 15 \r<BR>\n" );
document.write( "\n" );
document.write( "3x + 3y = 18  ( multiply by 3)\r<BR>\n" );
document.write( "\n" );
document.write( "now after addition  5x = 33  => x = 33/5\r<BR>\n" );
document.write( "\n" );
document.write( "now put the value of x on any equation of above ,  \r<BR>\n" );
document.write( "\n" );
document.write( "for example  in   x+y = 6 \r<BR>\n" );
document.write( "\n" );
document.write( "=> 33/5 +y =6 \r<BR>\n" );
document.write( "\n" );
document.write( "=> y = 6 - 33/5 \r<BR>\n" );
document.write( "\n" );
document.write( "=> y = ( 30-33)/5 \r<BR>\n" );
document.write( "\n" );
document.write( "=> y =  -3/5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "thus, x = 33/5, y = -3/5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );