document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212539>Question 212539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the addition method, what is the solution to 2x-5y=4 and 7x-2y=4 \r<BR>\n" );
document.write( "\n" );
document.write( "I've tried and I can't figure it out. I eliminate the x's by multiplying to 14 but i get the fraction of 16/31y and it isn't correct.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160511 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=160511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the addition method, what is the solution to <BR>\n" );
document.write( "2x-5y=4  <BR>\n" );
document.write( "7x-2y=4 <BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Multiply thru the 1st equation by 2; Multiply thru the 2nd equation by 5.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "4x-10y = 8<BR>\n" );
document.write( "35x-10y = 20<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Subtract the 1st from the 2nd to solve for \"x\":<BR>\n" );
document.write( "31x = 12<BR>\n" );
document.write( "x = 12/31<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Substitute into 2x-5y=4 to solve for \"y\":<BR>\n" );
document.write( "2(12/31) - 5y = 4<BR>\n" );
document.write( "24/31 - 5y = 124/31<BR>\n" );
document.write( "5y = -100/31<BR>\n" );
document.write( "y = -20/31<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );