document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155035>Question 155035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of m and a such that these equations have infinite solution sets.\r<BR>\n" );
document.write( "\n" );
document.write( "(i) 4x+my=a<BR>\n" );
document.write( "    2x+y=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114137 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=114137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The same line always intersects itself.\r<BR>\n" );
document.write( "\n" );
document.write( "Force the 1st equation into similarity with the second:\r<BR>\n" );
document.write( "\n" );
document.write( "2x+(m/2)y=a/2<BR>\n" );
document.write( "2x+y=4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "THUS, we want m/2=1  and a/2=4\r<BR>\n" );
document.write( "\n" );
document.write( "So m=2, a=8. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );