document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287295>Question 287295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with this <BR>\n" );
document.write( "10x+y=4<BR>\n" );
document.write( "30x-12=-3<BR>\n" );
document.write( "I need to know if they have one solution, no solution, or infinite number<BR>\n" );
document.write( "Is the system inconsistent, are the equation dependent or either graph parellel,one line, intersect </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208231 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=208231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I suspect that  you forgot to include y in the second equation<BR>\n" );
document.write( "I will place it where I think it should be.<BR>\n" );
document.write( "10x+y=4<BR>\n" );
document.write( "30x-12y=-3<BR>\n" );
document.write( "The slope of the first is -10/1=-10<BR>\n" );
document.write( "The slope of the second is -30/-12=15/6=5/2=2.5<BR>\n" );
document.write( "So they are not parallel and not perpendicular<BR>\n" );
document.write( "multiply the first by -3<BR>\n" );
document.write( "-30x-3y=-12<BR>\n" );
document.write( "30x-12y=-3<BR>\n" );
document.write( "add them<BR>\n" );
document.write( "-15y=-15<BR>\n" );
document.write( "y=1<BR>\n" );
document.write( "10x+1=4<BR>\n" );
document.write( "10x=3<BR>\n" );
document.write( "x=3/10<BR>\n" );
document.write( "The only solution is (3/10,1)<BR>\n" );
document.write( "Google \"independent consistent\" </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );