document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39083>Question 39083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve by graphing.  Indicate whether each system is independent, inconsistent, or dependent.  Thanks.\r<BR>\n" );
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document.write( "1.  3x - y = 4<BR>\n" );
document.write( "    3x - y = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24520 by </B><A HREF=/tutors/aboutme.mpl?userid=mbarugel><B>mbarugel(146)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbarugel><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=24520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "In order to solve this system by graphing, let's first write both equations with y as a function of x:\r<BR>\n" );
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document.write( "The system becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=3x-4%2Cy=3x%29 ALIGN=MIDDLE  ALT=\"system%28y=3x-4%2Cy=3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Clearly, this is an INCONSISTENT system. Notice that the two lines are parallel to each other, because they have exactly the same slope, so they never cross each other. Graphically, it looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-10%2C10%2C-10%2C10%2C3x-4%2C3x%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-10%2C10%2C-10%2C10%2C3x-4%2C3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(the red line is 3x-4, the green one is 3x)\r<BR>\n" );
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document.write( "Since this is an inconsistent system, it has no solution.\r<BR>\n" );
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document.write( "I hope this helps!<BR>\n" );
document.write( "Get more answers at <a  rel=nofollow HREF=http://www.onlinemathanswers.com>Online Math Answers.com</a>!<BR>\n" );
document.write( " </SPAN>\n" );
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