document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24670>Question 24670</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have worked this problem about 5 times and the answers I get do not satisfy each equation. Could someone please tell me if this equation is inconsistent??<BR>\n" );
document.write( "Solve this system of equations, when possible:<BR>\n" );
document.write( "x-y+z=7<BR>\n" );
document.write( "2x+5y-4z=2<BR>\n" );
document.write( "-x+y-z=4\r<BR>\n" );
document.write( "\n" );
document.write( "these are the answers I got, but do not satify each equation!<BR>\n" );
document.write( "x=-4, y=-6, z=10<BR>\n" );
document.write( "x=10, y=6, z=-3\r<BR>\n" );
document.write( "\n" );
document.write( "I then multiplied 1)by -2 and 3)by 2 and added them seperatley to 2) and got answers of: 7y-6z=10 and 7y-6z=-12<BR>\n" );
document.write( "I then subtracted them and got: 0=-2<BR>\n" );
document.write( "which is and inconsistent system, right??!!<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 #13153 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=13153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you add the 1st and 3rd equations you get 0=11.<BR>\n" );
document.write( "What does that tell you about the system of equations?\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );