document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377170>Question 377170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of linear equations (set z=a if dependent)\r<BR>\n" );
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document.write( "I tried the problem below but I'm clearly missing something:\r<BR>\n" );
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document.write( "Eqn 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-3y%2B2z=-18 ALIGN=MIDDLE  ALT=\"10x-3y%2B2z=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Eqn 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x-5y-z=13 ALIGN=MIDDLE  ALT=\"19x-5y-z=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2(Eqn 1) - Eqn 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x+-+6y+%2B+4z+=+-36 ALIGN=MIDDLE  ALT=\"20x+-+6y+%2B+4z+=+-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x+-+5y+-+z+=+13 ALIGN=MIDDLE  ALT=\"19x+-+5y+-+z+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Eqn 1 = x - 11y + 3z = -23\r<BR>\n" );
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document.write( "-19(Eqn 1) + Eqn 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19x+%2B+209y+-+57z+=+437 ALIGN=MIDDLE  ALT=\"-19x+%2B+209y+-+57z+=+437\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x+-+5y+-z+=+13 ALIGN=MIDDLE  ALT=\"19x+-+5y+-z+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Eqn 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=204y+-+58z+=+450 ALIGN=MIDDLE  ALT=\"204y+-+58z+=+450\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let z = 2a\r<BR>\n" );
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document.write( "I'm getting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2875%2F34%29+%2B+%2829%2F51%29a ALIGN=MIDDLE  ALT=\"y=%2875%2F34%29+%2B+%2829%2F51%29a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that is not right. Did not solve further. Any help you can provide is appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268064 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With 3 variables and 2 equations, you can eliminate any of the 3 variables and get the equation of a line.<BR>\n" );
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document.write( "An equation in 3 variables is a plane in 3-space.  The 2 eqns are of 2 planes, and their intersection, which is a line in 3-space.  <BR>\n" );
document.write( "By eliminating the x, you get the projection of the line onto the y-z plane.<BR>\n" );
document.write( "By eliminating the y, you get the projection of the line onto the x-z plane.<BR>\n" );
document.write( "By eliminating the z, you get the projection of the line onto the x-y plane.<BR>\n" );
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