document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197030>Question 1197030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the given system of equations. / Los die gegwe stelsel van vergelykings op.     (12)<BR>\n" );
document.write( "4x + y +  3z =  1<BR>\n" );
document.write( "8x + 9z        = 10 <BR>\n" );
document.write( "- 6x + 3y + 12z = - 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830112 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=830112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+y+%2B+3z+=+1 ALIGN=MIDDLE  ALT=\"4x+%2B+y+%2B+3z+=+1\"   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=8x+%2B+9z+=+10 ALIGN=MIDDLE  ALT=\"8x+%2B+9z+=+10\"   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=-+6x+%2B+3y+%2B+12z+=+-+4 ALIGN=MIDDLE  ALT=\"-+6x+%2B+3y+%2B+12z+=+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.3<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x+%2B+9z+=+10 ALIGN=MIDDLE  ALT=\"8x+%2B+9z+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.2, solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   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=++9z+=+10-8x ALIGN=MIDDLE  ALT=\"++9z+=+10-8x\"   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=++z+=+10%2F9-8x%2F9 ALIGN=MIDDLE  ALT=\"++z+=+10%2F9-8x%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........eq.2a\r<BR>\n" );
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document.write( "substitute in eq.1  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+y+%2B+3%2810%2F9-8x%2F9%29+=+1 ALIGN=MIDDLE  ALT=\"4x+%2B+y+%2B+3%2810%2F9-8x%2F9%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+y+%2B+10%2F3-8x%2F3=+1 ALIGN=MIDDLE  ALT=\"4x+%2B+y+%2B+10%2F3-8x%2F3=+1\"   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=4x+%2B+y+-8x%2F3=+1-10%2F3 ALIGN=MIDDLE  ALT=\"4x+%2B+y+-8x%2F3=+1-10%2F3\"   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=%284+%2F3+%29x%2B+y=+-7%2F3 ALIGN=MIDDLE  ALT=\"%284+%2F3+%29x%2B+y=+-7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >............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=+-7%2F3-%284+%2F3+%29x ALIGN=MIDDLE  ALT=\"+y=+-7%2F3-%284+%2F3+%29x\"   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=-+6x+%2B+3y+%2B+12z+=+-+4 ALIGN=MIDDLE  ALT=\"-+6x+%2B+3y+%2B+12z+=+-+4\"   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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   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=-+6x+%2B+3%28+-7%2F3-%284+%2F3+%29x%29+%2B+12%2810%2F9-8x%2F9%29+=+-+4 ALIGN=MIDDLE  ALT=\"-+6x+%2B+3%28+-7%2F3-%284+%2F3+%29x%29+%2B+12%2810%2F9-8x%2F9%29+=+-+4\"   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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+6x++-4+x+-+7%2B+40%2F3+-+%2832%2F3%29x=+-+4 ALIGN=MIDDLE  ALT=\"-+6x++-4+x+-+7%2B+40%2F3+-+%2832%2F3%29x=+-+4\"   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=-+6x++-4+x++-+%2832%2F3%29x=+7-+4-40%2F3 ALIGN=MIDDLE  ALT=\"-+6x++-4+x++-+%2832%2F3%29x=+7-+4-40%2F3\"   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=-%2862%2F3%29x=+-31%2F3 ALIGN=MIDDLE  ALT=\"-%2862%2F3%29x=+-31%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-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=62x=+31 ALIGN=MIDDLE  ALT=\"62x=+31\"   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=+31%2F62 ALIGN=MIDDLE  ALT=\"x=+31%2F62\"   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=x=+1%2F2 ALIGN=MIDDLE  ALT=\"x=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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=+y=+-7%2F3-%284+%2F3+%29x ALIGN=MIDDLE  ALT=\"+y=+-7%2F3-%284+%2F3+%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >................eq.1a, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=y=+-7%2F3-%284+%2F3+%29%281%2F2%29 ALIGN=MIDDLE  ALT=\"y=+-7%2F3-%284+%2F3+%29%281%2F2%29\"   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=+y=+-3 ALIGN=MIDDLE  ALT=\"+y=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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=++z+=+10%2F9-8x%2F9 ALIGN=MIDDLE  ALT=\"++z+=+10%2F9-8x%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........eq.2a, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=++z+=+10%2F9-%288%281%2F2%29%29%2F9 ALIGN=MIDDLE  ALT=\"++z+=+10%2F9-%288%281%2F2%29%29%2F9\"   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=++z+=+10%2F9-4%2F9 ALIGN=MIDDLE  ALT=\"++z+=+10%2F9-4%2F9\"   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=++z+=+6%2F9 ALIGN=MIDDLE  ALT=\"++z+=+6%2F9\"   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=++z+=+2%2F3 ALIGN=MIDDLE  ALT=\"++z+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+1%2F2 ALIGN=MIDDLE  ALT=\"x=+1%2F2\"   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=+y=+-3 ALIGN=MIDDLE  ALT=\"+y=+-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=++z+=+2%2F3 ALIGN=MIDDLE  ALT=\"++z+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );