document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933861>Question 933861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by the substitution method.\r<BR>\n" );
document.write( "\n" );
document.write( "-6y=x+21<BR>\n" );
document.write( "3x+5y=11\r<BR>\n" );
document.write( "\n" );
document.write( "Please Help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567079 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=567079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by the substitution method. <BR>\n" );
document.write( "-6y=x+21<BR>\n" );
document.write( " 3x+5y=11 <BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve the top equation for \"x\"::<BR>\n" );
document.write( "x = -6y-21<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute that into the bottom equation and solve for \"y\"::<BR>\n" );
document.write( "3(-6y-21) + 5y = 11<BR>\n" );
document.write( "-18y - 63 + 5y = 11<BR>\n" );
document.write( "-13y - 63 = 11<BR>\n" );
document.write( "13y = -63-11<BR>\n" );
document.write( "y = -74/13 = -5.69<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "x = -6y-21<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = -6(-74/13) - 21<BR>\n" );
document.write( "x = 444/13 - 21 = 13.15<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" );