document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152851>Question 1152851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> III.	Given the linear system<BR>\n" );
document.write( "2x1 + 3x2 - x3  = 0<BR>\n" );
document.write( "  x1 - 4x2 + 5x3 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "(a)	Verify that x1 = 1, x2 = -1, x3 = - 1 is a solution.<BR>\n" );
document.write( "(b)	Verify that x1 = -2, x2 = 2, x3 = 2 is a solution.<BR>\n" );
document.write( "(c)	Adding the corresponding x-values of the solution in parts (a) and (b) gives x1 = -1, x2 = 1, x3 = 1. Is this a solution to the linear system?<BR>\n" );
document.write( "(d)	Multiply each of the x-values in part (a) by 3. Are the resulting values a solution to the linear system?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774952 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(a) Verify that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+1 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2+%5D=+-1 ALIGN=MIDDLE  ALT=\"x%5B2+%5D=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D+=+-+1 ALIGN=MIDDLE  ALT=\"x%5B3%5D+=+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......substitute given values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1+%2B+3%28-1%29+-+%28-1%29=+0 ALIGN=MIDDLE  ALT=\"2%2A1+%2B+3%28-1%29+-+%28-1%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-3+%2B1=+0 ALIGN=MIDDLE  ALT=\"2-3+%2B1=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-3+=+0 ALIGN=MIDDLE  ALT=\"3-3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=true ALIGN=MIDDLE  ALT=\"true\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+4%28-1%29++%2B+5%28-1%29+=+0 ALIGN=MIDDLE  ALT=\"1+-+4%28-1%29++%2B+5%28-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+4++-5+=+0 ALIGN=MIDDLE  ALT=\"1+%2B+4++-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-5=0 ALIGN=MIDDLE  ALT=\"5-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > -><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=true ALIGN=MIDDLE  ALT=\"true\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+1 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2+%5D=+-1 ALIGN=MIDDLE  ALT=\"x%5B2+%5D=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D+=+-+1 ALIGN=MIDDLE  ALT=\"x%5B3%5D+=+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=is ALIGN=MIDDLE  ALT=\"is\"   DISABLED_style= \"max-width:90%; height:auto;\" > a solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b) Verify that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+-2 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B3%5D+=+2 ALIGN=MIDDLE  ALT=\"+x%5B3%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......substitute given values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28-2%29+%2B+3%282%29+-+%282%29=+0 ALIGN=MIDDLE  ALT=\"2%2A%28-2%29+%2B+3%282%29+-+%282%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4+%2B6-2=+0 ALIGN=MIDDLE  ALT=\"-4+%2B6-2=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2B6=0+ ALIGN=MIDDLE  ALT=\"-6%2B6=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=true ALIGN=MIDDLE  ALT=\"true\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+-+4%282%29++%2B+5%282%29+=+0 ALIGN=MIDDLE  ALT=\"-2+-+4%282%29++%2B+5%282%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+-8++%2B10+=+0 ALIGN=MIDDLE  ALT=\"-2+-8++%2B10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10%2B10=0 ALIGN=MIDDLE  ALT=\"-10%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > -><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=true ALIGN=MIDDLE  ALT=\"true\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+-2 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D+=+2 ALIGN=MIDDLE  ALT=\"x%5B3%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=is ALIGN=MIDDLE  ALT=\"is\"   DISABLED_style= \"max-width:90%; height:auto;\" > a solution\r<BR>\n" );
document.write( "\n" );
document.write( "(c) Adding the corresponding x-values of the solution in parts (a) and (b) gives \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+-1 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+1 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D+=+1 ALIGN=MIDDLE  ALT=\"x%5B3%5D+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Is this a solution to the linear system?\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......substitute given values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28-1%29+%2B+3%281%29+-+%281%29=+0 ALIGN=MIDDLE  ALT=\"2%2A%28-1%29+%2B+3%281%29+-+%281%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%2B3-1=+0 ALIGN=MIDDLE  ALT=\"-2+%2B3-1=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2B3=0+ ALIGN=MIDDLE  ALT=\"-3%2B3=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >->true\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+-+4%281%29++%2B+5%281%29+=+0 ALIGN=MIDDLE  ALT=\"-1+-+4%281%29++%2B+5%281%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+-4++%2B5+=+0 ALIGN=MIDDLE  ALT=\"-1+-4++%2B5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2B5=0 ALIGN=MIDDLE  ALT=\"-5%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0+ ALIGN=MIDDLE  ALT=\"0=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >->true\r<BR>\n" );
document.write( "\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+-1 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+1 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D+=+1 ALIGN=MIDDLE  ALT=\"x%5B3%5D+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=is ALIGN=MIDDLE  ALT=\"is\"   DISABLED_style= \"max-width:90%; height:auto;\" > a solution to the linear system\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(d) Multiply each of the x-values in part (a) by 3. Are the resulting values a solution to the linear system?\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D%2A3+=+1%2A3=3 ALIGN=MIDDLE  ALT=\"x%5B1%5D%2A3+=+1%2A3=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2+%5D%2A3=+-1%2A3=-3 ALIGN=MIDDLE  ALT=\"x%5B2+%5D%2A3=+-1%2A3=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D+%2A3=+-+1%2A3=-3 ALIGN=MIDDLE  ALT=\"x%5B3%5D+%2A3=+-+1%2A3=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"2x%5B1%5D+%2B+3x%5B2%5D+-+x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......substitute given values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%283%29+%2B+3%28-3%29+-+%28-3%29=+0 ALIGN=MIDDLE  ALT=\"2%2A%283%29+%2B+3%28-3%29+-+%28-3%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-9%2B3=+0 ALIGN=MIDDLE  ALT=\"6-9%2B3=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-9=0+ ALIGN=MIDDLE  ALT=\"9-9=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=true ALIGN=MIDDLE  ALT=\"true\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0 ALIGN=MIDDLE  ALT=\"x%5B1%5D+-+4x%5B2%5D+%2B+5x%5B3%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+4%28-3%29++%2B+5%28-3%29+=+0 ALIGN=MIDDLE  ALT=\"3+-+4%28-3%29++%2B+5%28-3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B12+-15+=+0 ALIGN=MIDDLE  ALT=\"3+%2B12+-15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15-15=0 ALIGN=MIDDLE  ALT=\"15-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0+ ALIGN=MIDDLE  ALT=\"0=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=true ALIGN=MIDDLE  ALT=\"true\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "=>the resulting values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=are ALIGN=MIDDLE  ALT=\"are\"   DISABLED_style= \"max-width:90%; height:auto;\" > solution to the linear system \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );