document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562838>Question 562838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question<BR>\n" );
document.write( "write a system of linear equations that has no solution<BR>\n" );
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document.write( "my work<BR>\n" );
document.write( "x+y=8<BR>\n" );
document.write( "-x-y=-8\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 #364710 by </B><A HREF=/tutors/aboutme.mpl?userid=issacodegard><B>issacodegard(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=issacodegard><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/cgi-bin/show-face.mpl?user=issacodegard><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, the system you gave has infinitely many solutions (any choice of x and y works).  Here is a system with no solutions,<BR>\n" );
document.write( "x+y=8<BR>\n" );
document.write( "-x-y=-7<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "Suppose there exists a solution pair, call it x,y.  Then the equations are satisfied i.e. x+y=8 and -x-y=-7.  Add the equations to get 0=1.  But this can't be true, so there is no solution pair to the system by contradiction. </SPAN>\n" );
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