document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805993>Question 805993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving each system by addition, and determine whether the equations are independent, dependent, or inconsistent. Here is the problem.\r<BR>\n" );
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document.write( "x- y=3<BR>\n" );
document.write( "-6x+6y=17.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485618 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=485618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> determine whether the equations are independent, dependent, or inconsistent. Here is the problem. <BR>\n" );
document.write( "x- y=3<BR>\n" );
document.write( "-6x+6y=17. <BR>\n" );
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document.write( "Multiply thru the 1st equation by 6::<BR>\n" );
document.write( "6x - 6y = 18<BR>\n" );
document.write( "-6x + 6y = 17<BR>\n" );
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document.write( "Add to get:<BR>\n" );
document.write( "0 = 35<BR>\n" );
document.write( "That is a contradiction::\r<BR>\n" );
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document.write( "Note: This contradiction happened because I assumed<BR>\n" );
document.write( "the x's and the y's in the two equations had the same variable value.<BR>\n" );
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document.write( "The system is inconsistent.<BR>\n" );
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