document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136789>Question 136789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SOLVE THE FOLLOWING SYSTEM (USE THE METHOD YOU PREFER, WHETHER IT BE ADDITION OR SUBSTITUTION)\r<BR>\n" );
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document.write( "6)  y-3x= -2<BR>\n" );
document.write( "   6x-2y= 4\r<BR>\n" );
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document.write( "on this one i think i should use substitution, altough i'm really confused on this process.. please help!! <BR>\n" );
document.write( "thanks,<BR>\n" );
document.write( "lj23kfuller@yahoo.com </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100122 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=100122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y-3x= -2<BR>\n" );
document.write( "   6x-2y= 4<BR>\n" );
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document.write( "Substitute to get:<BR>\n" );
document.write( "6x -2*(3x-2) = -2<BR>\n" );
document.write( "6x-6x+4 = -2<BR>\n" );
document.write( "4 = -2<BR>\n" );
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document.write( "This is a contradiction that resulted from assuming<BR>\n" );
document.write( "the x's and the y's in the two equations were the same for<BR>\n" );
document.write( "both equations.<BR>\n" );
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document.write( "That assumption lead to the contradiction.<BR>\n" );
document.write( "Therefore the x's and the y's cannot be the same<BR>\n" );
document.write( "in the two equations.  That means there is no solution<BR>\n" );
document.write( "for the system.<BR>\n" );
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document.write( "That also means the system of equations is \"inconsistent\".<BR>\n" );
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document.write( "If you graphed the two equation you would get parallel lines.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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