document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184797>Question 184797</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( "x+11y=51<BR>\n" );
document.write( "3x+6y=18\r<BR>\n" );
document.write( "\n" );
document.write( "So are you saying there is no solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138724 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138724\">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( "x+11y=51<BR>\n" );
document.write( "3x+6y=18 <BR>\n" );
document.write( "Let's see if there is a solution<BR>\n" );
document.write( "x = (51 - 11y); use 1st equation for substitution in the 2nd equation:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3(51-11y) + 6y = 18<BR>\n" );
document.write( ":<BR>\n" );
document.write( "153 - 33y + 6y = 18<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-27y = 18 - 153<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-27y = -135<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-135%29%2F%28-27%29 ALIGN=MIDDLE  ALT=\"%28-135%29%2F%28-27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = +5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find x: x = (51-11y)<BR>\n" );
document.write( "x = 51 - 11(5)<BR>\n" );
document.write( "x = 51 - 55<BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the 2nd equation<BR>\n" );
document.write( "3x + 6y = 18<BR>\n" );
document.write( "3(-4) + 6(5) =<BR>\n" );
document.write( "-12 + 30 = 18    </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );