document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436222>Question 436222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please show me how to solve the system by the elimination method?<BR>\n" );
document.write( "5x + 3y = -11<BR>\n" );
document.write( "7x -2y = 19 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301806 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=301806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use one of the equations to express one of the variables in terms of the other.<BR>\n" );
document.write( "In this case, let's solve y in terms of x using the 1st equation:<BR>\n" );
document.write( "5x + 3y = -11<BR>\n" );
document.write( "3y = -5x - 11<BR>\n" );
document.write( "y = -5/3x - 11/3<BR>\n" );
document.write( "Now substitute this value for y into the 2nd equation:<BR>\n" );
document.write( "7x - 2(-5/3x - 11/3) = 19<BR>\n" );
document.write( "7x + 10/3x + 22/3 = 19<BR>\n" );
document.write( "Solve for x:<BR>\n" );
document.write( "31/3x = 35/3 -> x = 35/31<BR>\n" );
document.write( "Substitute this value into the equation for y above:<BR>\n" );
document.write( "y = -5/3(35/31) - 11/3<BR>\n" );
document.write( "This gives y = -175/93 - 341/93 = -516/93 = -172/31 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );