document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150840>Question 1150840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the solution set of this linear system, in detailes <BR>\n" );
document.write( "         Y   - 4Z = 8 <BR>\n" );
document.write( "2X - 3Y + 2Z = 1 <BR>\n" );
document.write( "5X - 8Y + 7Z = 1 <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 #772351 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=772351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+-+4Z+=+8 ALIGN=MIDDLE  ALT=\"Y+-+4Z+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+-+3Y+%2B+2Z+=+1 ALIGN=MIDDLE  ALT=\"2X+-+3Y+%2B+2Z+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+-+8Y+%2B+7Z+=+1 ALIGN=MIDDLE  ALT=\"5X+-+8Y+%2B+7Z+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.3\r<BR>\n" );
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document.write( "start with\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+-+4Z+=+8 ALIGN=MIDDLE  ALT=\"Y+-+4Z+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1, solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+ ALIGN=MIDDLE  ALT=\"Y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=4Z%2B+8 ALIGN=MIDDLE  ALT=\"Y+=4Z%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.1a\r<BR>\n" );
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document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+-+3Y+%2B+2Z+=+1 ALIGN=MIDDLE  ALT=\"2X+-+3Y+%2B+2Z+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.2, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+ ALIGN=MIDDLE  ALT=\"Y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+-+3%284Z%2B+8%29+%2B+2Z+=+1 ALIGN=MIDDLE  ALT=\"2X+-+3%284Z%2B+8%29+%2B+2Z+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+-+12Z-24+%2B+2Z+=+1 ALIGN=MIDDLE  ALT=\"2X+-+12Z-24+%2B+2Z+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+-+10Z+=+1%2B24 ALIGN=MIDDLE  ALT=\"2X+-+10Z+=+1%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X+-+10Z+=+25 ALIGN=MIDDLE  ALT=\"2X+-+10Z+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X ALIGN=MIDDLE  ALT=\"X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X++=+10Z%2B25 ALIGN=MIDDLE  ALT=\"2X++=+10Z%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X++=+5Z%2B25%2F2 ALIGN=MIDDLE  ALT=\"X++=+5Z%2B25%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.2a\r<BR>\n" );
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document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+-+8Y+%2B+7Z+=+1 ALIGN=MIDDLE  ALT=\"5X+-+8Y+%2B+7Z+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.3, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+ ALIGN=MIDDLE  ALT=\"Y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+-+8%284Z%2B+8%29+%2B+7Z+=+1 ALIGN=MIDDLE  ALT=\"5X+-+8%284Z%2B+8%29+%2B+7Z+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+-+32Z-+64+%2B+7Z+=+1 ALIGN=MIDDLE  ALT=\"5X+-+32Z-+64+%2B+7Z+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+-+25Z=64%2B+1 ALIGN=MIDDLE  ALT=\"5X+-+25Z=64%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+-+25Z=65 ALIGN=MIDDLE  ALT=\"5X+-+25Z=65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+=25Z%2B65 ALIGN=MIDDLE  ALT=\"5X+=25Z%2B65\"   DISABLED_style= \"max-width:90%; height:auto;\" >............both sides divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+=5Z%2B13 ALIGN=MIDDLE  ALT=\"X+=5Z%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.3a\r<BR>\n" );
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document.write( "from eq.2a and eq.3a we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5Z%2B25%2F2=5Z%2B13 ALIGN=MIDDLE  ALT=\"+5Z%2B25%2F2=5Z%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" >......as you can see, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5Z ALIGN=MIDDLE  ALT=\"5Z\"   DISABLED_style= \"max-width:90%; height:auto;\" > on both side which means it will cancel each other<BR>\n" );
document.write( "therefore,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28no%29 ALIGN=MIDDLE  ALT=\"highlight%28no%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28solutions%29 ALIGN=MIDDLE  ALT=\"highlight%28solutions%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28exist+%29 ALIGN=MIDDLE  ALT=\"highlight%28exist+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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