document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153199>Question 1153199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is there a section for tips for linear systems with 3 variables? I found the solver for 2 variables and 2 equations but I could not find one for 3 variables and 3 equations\r<BR>\n" );
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document.write( "z=t - Solve systems using elimination\r<BR>\n" );
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document.write( "2x+y-3z=1<BR>\n" );
document.write( "x-2y-z=3<BR>\n" );
document.write( "x+8y-3z=-7\r<BR>\n" );
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document.write( "How would the answer be different t=z? What does t mean/represent? Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775394 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=775394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "this calculator is really good:\r<BR>\n" );
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document.write( "https://www.mathportal.org/calculators/system-of-equations-solver/system-3x3.php\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By-3z=1 ALIGN=MIDDLE  ALT=\"2x%2By-3z=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y-z=3 ALIGN=MIDDLE  ALT=\"x-2y-z=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B8y-3z=-7 ALIGN=MIDDLE  ALT=\"x%2B8y-3z=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......3)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y-z=3 ALIGN=MIDDLE  ALT=\"x-2y-z=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B8y-3z=-7 ALIGN=MIDDLE  ALT=\"x%2B8y-3z=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......3)<BR>\n" );
document.write( "-------------------------subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y-z-%28x%2B8y-3z%29=3-%28-7%29 ALIGN=MIDDLE  ALT=\"x-2y-z-%28x%2B8y-3z%29=3-%28-7%29\"   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=cross%28x%29-2y-z-cross%28x%29-8y%2B3z=3%2B7 ALIGN=MIDDLE  ALT=\"cross%28x%29-2y-z-cross%28x%29-8y%2B3z=3%2B7\"   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=-10y%2B2z=10 ALIGN=MIDDLE  ALT=\"-10y%2B2z=10\"   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=2z=10y%2B10 ALIGN=MIDDLE  ALT=\"2z=10y%2B10\"   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=10y=2z-10 ALIGN=MIDDLE  ALT=\"10y=2z-10\"   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=z%2F5-1 ALIGN=MIDDLE  ALT=\"y=z%2F5-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......................1a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By-3z=1 ALIGN=MIDDLE  ALT=\"2x%2By-3z=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......1)...........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=2x%2Bz%2F5-1-3z=1 ALIGN=MIDDLE  ALT=\"2x%2Bz%2F5-1-3z=1\"   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=2x%2Bz%2F5-15z%2F5=1%2B1 ALIGN=MIDDLE  ALT=\"2x%2Bz%2F5-15z%2F5=1%2B1\"   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=2x-14z%2F5=2 ALIGN=MIDDLE  ALT=\"2x-14z%2F5=2\"   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=2x=14z%2F5%2B2 ALIGN=MIDDLE  ALT=\"2x=14z%2F5%2B2\"   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=7z%2F5%2B1 ALIGN=MIDDLE  ALT=\"x=7z%2F5%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................1b)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y-z=3 ALIGN=MIDDLE  ALT=\"x-2y-z=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......2)....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;\" > and <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=7z%2F5%2B1-2%28z%2F5-1%29-z=3 ALIGN=MIDDLE  ALT=\"7z%2F5%2B1-2%28z%2F5-1%29-z=3\"   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=7z%2F5%2B1-2z%2F5%2B2-z=3 ALIGN=MIDDLE  ALT=\"7z%2F5%2B1-2z%2F5%2B2-z=3\"   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=5z%2F5-z=3-1-2 ALIGN=MIDDLE  ALT=\"5z%2F5-z=3-1-2\"   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-z=3-3 ALIGN=MIDDLE  ALT=\"z-z=3-3\"   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=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> is always true; so the system has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinitely ALIGN=MIDDLE  ALT=\"infinitely\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+many ALIGN=MIDDLE  ALT=\"+many\"   DISABLED_style= \"max-width:90%; height:auto;\" > solutions \r<BR>\n" );
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document.write( "The solutions to the system of equations are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7z%2F5%2B1 ALIGN=MIDDLE  ALT=\"x=7z%2F5%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=z%2F5-1 ALIGN=MIDDLE  ALT=\"y=z%2F5-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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