document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302770>Question 302770</A>: <I><SPAN STYLE=\"word-break: break-all;\">   x^1+x^2+x^3=0<BR>\n" );
document.write( "2x^1-x^2-x^3=-3<BR>\n" );
document.write( "  x^1-x^2+x^3=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217060 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=217060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are these linear systems of functions of x (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E1%2Bx%5E2%2Bx%5E3%2C+2x%5E1-x%5E2-x%5E3%2B3%2C+x%5E1-x%5E2%2Bx%5E3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If so, it doesn't look like there is a solution (no common intersection point for all three graphs).<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Or are these <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1 ALIGN=MIDDLE  ALT=\"x1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2 ALIGN=MIDDLE  ALT=\"x2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x3 ALIGN=MIDDLE  ALT=\"x3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, three variables? \r<BR>\n" );
document.write( "\n" );
document.write( "[A]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C1%2C1%2C1%2C2%2C-1%2C-1%2C1%2C-1%2C1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C3%2C1%2C1%2C1%2C2%2C-1%2C-1%2C1%2C-1%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[x]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C1%2Cx1%2Cx2%2Cx3%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C1%2Cx1%2Cx2%2Cx3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[b]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C1%2C0%2C-3%2C0%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C1%2C0%2C-3%2C0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then <BR>\n" );
document.write( "[A][x]=[b]<BR>\n" );
document.write( "[x]=[A]inv[b]<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "det[A]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6 ALIGN=MIDDLE  ALT=\"-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[A]inv=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%281%2F6%29%2A%28matrix%283%2C3%2C-2%2C-2%2C0%2C-3%2C0%2C3%2C-1%2C0%2C-3%29%29 ALIGN=MIDDLE  ALT=\"-%281%2F6%29%2A%28matrix%283%2C3%2C-2%2C-2%2C0%2C-3%2C0%2C3%2C-1%2C0%2C-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[x]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C1%2C-1%2C0%2C1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C1%2C-1%2C0%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=-1 ALIGN=MIDDLE  ALT=\"x1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2=0 ALIGN=MIDDLE  ALT=\"x2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x3=1 ALIGN=MIDDLE  ALT=\"x3=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );