document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=793179>Question 793179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following linear system using the substitution method and check your solutions.<BR>\n" );
document.write( " <BR>\n" );
document.write( "3x+4y=-6           <BR>\n" );
document.write( "x-3y=-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480260 by </B><A HREF=/tutors/aboutme.mpl?userid=waynest><B>waynest(281)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=waynest><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=480260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x - 3y = -2<BR>\n" );
document.write( "x - 3y + 3y = 3y - 2<BR>\n" );
document.write( "x = 3y - 2<BR>\n" );
document.write( "substitute for x in the first equation<BR>\n" );
document.write( "3(3y -2) + 4y = -6<BR>\n" );
document.write( "9y - 6 + 4y = -6<BR>\n" );
document.write( "15y -6 + 6 = -6 + 6<BR>\n" );
document.write( "15y = 0<BR>\n" );
document.write( "15y/15 = 0/15<BR>\n" );
document.write( "y = 0\r<BR>\n" );
document.write( "\n" );
document.write( "solve for x<BR>\n" );
document.write( "3x + 4(0) = -6<BR>\n" );
document.write( "3x = -6<BR>\n" );
document.write( "3x/3 = -6/3<BR>\n" );
document.write( "x = -2\r<BR>\n" );
document.write( "\n" );
document.write( "check:<BR>\n" );
document.write( "3(-2) + 4(0) = -6<BR>\n" );
document.write( "-6 = -6\r<BR>\n" );
document.write( "\n" );
document.write( "-2 - 3(-) = -2<BR>\n" );
document.write( "-2 = -2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );