document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6678>Question 6678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the system 2x-5y=1 and -3x+7y=-3 is to be solved by elimination of x, and the first equation is multiplied by 3, then by which number should the second equation be multiplied?<BR>\n" );
document.write( "*I think that the answer is 2.Is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3648 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=3648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiplying equation by-<BR>\n" );
document.write( "2x-5y=1....[*3]<BR>\n" );
document.write( "-3x+7y=-3..[*2]<BR>\n" );
document.write( "<P>Adding both equations after multiplication,we get-<BR>\n" );
document.write( " 6x - 15y = 3<BR>\n" );
document.write( "-6x + 14y =-6<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "     y  =  -3<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<P><BR>\n" );
document.write( "y=-3<BR>\n" );
document.write( "Substituting this value in [1] we get,<BR>\n" );
document.write( "2x-5y=1<BR>\n" );
document.write( "2x-5(-3)=1<BR>\n" );
document.write( "2x+15=1<BR>\n" );
document.write( "2x=-14<BR>\n" );
document.write( "x=-7<BR>\n" );
document.write( "<P><BR>\n" );
document.write( "<b>x=-7,y=-3</b><BR>\n" );
document.write( "-Prabhat </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );