document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68975>Question 68975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all solutions of the system.<BR>\n" );
document.write( "x+2y=4<BR>\n" );
document.write( "2x+4y=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49080 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=49080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all solutions of the system.<BR>\n" );
document.write( "x+2y=4<BR>\n" );
document.write( "2x+4y=8<BR>\n" );
document.write( "This has an infinite number of solutions, notice that if you multiply the top equation by 2 you'll get the bottom equation.  These two line lie right on top of each other.<BR>\n" );
document.write( "If you didn't notice that, here's what happens when you try to eliminate the x's by multiplying the top equation by -2 and adding the two equations together.<BR>\n" );
document.write( "-2(x+2y=4) ----2x-4y=-8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-2x-4y=-8<BR>\n" );
document.write( " 2x+4y=8<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "0+0=0<BR>\n" );
document.write( "0=0  This tells you that there are an infinite number of solutions.<BR>\n" );
document.write( "Happy Calculating!!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );