document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106202>Question 1106202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations algebraically for all values of x,y,and z\r<BR>\n" );
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document.write( "x-2y+3z=30<BR>\n" );
document.write( "4x+3y-2z=53<BR>\n" );
document.write( "-6x+8y-9z=-97\r<BR>\n" );
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document.write( "x=?<BR>\n" );
document.write( "y=?<BR>\n" );
document.write( "z=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721152 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y%2B3z=30 ALIGN=MIDDLE  ALT=\"x-2y%2B3z=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B3y-2z=53 ALIGN=MIDDLE  ALT=\"4x%2B3y-2z=53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2B8y-9z=-97 ALIGN=MIDDLE  ALT=\"-6x%2B8y-9z=-97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply eq. 1 by 4 and subtract from eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-8y%2B12z-4x-3y%2B2z=120-53 ALIGN=MIDDLE  ALT=\"4x-8y%2B12z-4x-3y%2B2z=120-53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11y%2B14z=67 ALIGN=MIDDLE  ALT=\"-11y%2B14z=67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply eq. 1 by 6 and add to eq. 3,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-12y%2B18z-6x%2B8y-9z=180-97 ALIGN=MIDDLE  ALT=\"6x-12y%2B18z-6x%2B8y-9z=180-97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4y%2B9z=83 ALIGN=MIDDLE  ALT=\"-4y%2B9z=83\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply eq. 4 by 4 and eq. 5 by -11 and add them together,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-44y%2B56z%2B44y-99z=268-913 ALIGN=MIDDLE  ALT=\"-44y%2B56z%2B44y-99z=268-913\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-43z=-645 ALIGN=MIDDLE  ALT=\"-43z=-645\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=15 ALIGN=MIDDLE  ALT=\"z=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now back substitute and solve for y and then x.<BR>\n" );
document.write( " </SPAN>\n" );
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