document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203525>Question 203525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system of equation by graphing.  <BR>\n" );
document.write( "9x-6y=42<BR>\n" );
document.write( "6y-9x=-42<BR>\n" );
document.write( " <BR>\n" );
document.write( "is it consistent or inconsistent<BR>\n" );
document.write( "dependant or independant\r<BR>\n" );
document.write( "\n" );
document.write( "i'm totally lost with this one, thinking there is no solution, but is that correct?<BR>\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153549 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us consider the first equation: 9x - 6y = 42.<BR>\n" );
document.write( "Multiplying both sides of this equation by (-1) we have<BR>\n" );
document.write( "(-1)*(9x - 6y) = (-1)*42<BR>\n" );
document.write( "(-1)*9x - (-1)*6y = -42<BR>\n" );
document.write( "-9x + 6y = -42<BR>\n" );
document.write( "i.e. 6y - 9x = -42<BR>\n" );
document.write( "This is nothing but your second equation so the two equations are not inconsistent, but are the same equation instead and hence dependent.\r<BR>\n" );
document.write( "\n" );
document.write( "If you try to draw the graphs, you will get ONLY one straight line as shown below.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+1.5%2Ax+-+7+%29%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );