document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43029>Question 43029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system. If a unique solution does not exist, state whether the system is inconsistent or dependent.\r<BR>\n" );
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document.write( "2x - y = 4<BR>\n" );
document.write( "2x - y = 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28050 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=28050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following system. If a unique solution does not exist, state whether the system is inconsistent or dependent. <BR>\n" );
document.write( "2x - y = 4<BR>\n" );
document.write( "2x - y = 6\r<BR>\n" );
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document.write( "Subtract the 1st equation from the 2nd to get:<BR>\n" );
document.write( "0=2\r<BR>\n" );
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document.write( "This is a contradiction meaning there is no solution.\r<BR>\n" );
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document.write( "The system is inconsistent because calling the pair of<BR>\n" );
document.write( "equations a \"system\" implies that the \"x\" and the \"y\" <BR>\n" );
document.write( "in both equations mean the same in both statements.<BR>\n" );
document.write( "But we found that cannot be true.  So the system is <BR>\n" );
document.write( "inconsistent.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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