document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=406673>Question 406673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My question is...solve for x, y, z.<BR>\n" );
document.write( "2x+5y+z=22<BR>\n" );
document.write( "3x-3y-z=-22<BR>\n" );
document.write( "5x+y+2z=-3\r<BR>\n" );
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document.write( "I have...<BR>\n" );
document.write( "       2x+5y+z=22   -4x-10y-2z=44   45x+18y=0<BR>\n" );
document.write( "       3x-3y-z=-22   5x+ y+ 2z=-3   10x-18y=-41<BR>\n" );
document.write( "       ___________   ____________   __________<BR>\n" );
document.write( "       5x+2y  =0     5x-9y    =41\r<BR>\n" );
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document.write( "I keep coming up with a fractionfor the last step. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286892 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=286892\">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=2x%2B5y%2Bz=22 ALIGN=MIDDLE  ALT=\"2x%2B5y%2Bz=22\"   DISABLED_style= \"max-width:90%; height:auto;\" >.................1.........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;\" > and substitute in 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-3y-z=-22 ALIGN=MIDDLE  ALT=\"3x-3y-z=-22\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2By%2B2z=-3 ALIGN=MIDDLE  ALT=\"5x%2By%2B2z=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................3 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y%2Bz=22 ALIGN=MIDDLE  ALT=\"2x%2B5y%2Bz=22\"   DISABLED_style= \"max-width:90%; height:auto;\" >.................1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+-2x-5y+%2B+22 ALIGN=MIDDLE  ALT=\"z=+-2x-5y+%2B+22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-3y-%28-2x-5y+%2B+22%29=-22 ALIGN=MIDDLE  ALT=\"3x-3y-%28-2x-5y+%2B+22%29=-22\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-3y%2B2x%2B5y+-+22=-22 ALIGN=MIDDLE  ALT=\"3x-3y%2B2x%2B5y+-+22=-22\"   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=5x%2B2y+=-22%2B22 ALIGN=MIDDLE  ALT=\"5x%2B2y+=-22%2B22\"   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%2B2y+=+0 ALIGN=MIDDLE  ALT=\"5x%2B2y+=+0\"   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;\" > and substitute in 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B2y+=+0 ALIGN=MIDDLE  ALT=\"5x%2B2y+=+0\"   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=2y+=+-5x ALIGN=MIDDLE  ALT=\"2y+=+-5x\"   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+=+-%285%2F2%29x ALIGN=MIDDLE  ALT=\"y+=+-%285%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%285%2F2%29x ALIGN=MIDDLE  ALT=\"y+=+-%285%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+-2x-5y+%2B+22 ALIGN=MIDDLE  ALT=\"z=+-2x-5y+%2B+22\"   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=+-2x-5%28-%285%2F2%29x%29+%2B+22 ALIGN=MIDDLE  ALT=\"z=+-2x-5%28-%285%2F2%29x%29+%2B+22\"   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=+-2x%2B%2825%2F2%29x+%2B+22 ALIGN=MIDDLE  ALT=\"z=+-2x%2B%2825%2F2%29x+%2B+22\"   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=+-2x%2B%2812.5%29x+%2B+22 ALIGN=MIDDLE  ALT=\"z=+-2x%2B%2812.5%29x+%2B+22\"   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=+10.5x+%2B+22 ALIGN=MIDDLE  ALT=\"z=+10.5x+%2B+22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2By%2B2z=-3 ALIGN=MIDDLE  ALT=\"5x%2By%2B2z=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................3 ..substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+10.5x+%2B+22 ALIGN=MIDDLE  ALT=\"z=+10.5x+%2B+22\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%285%2F2%29x ALIGN=MIDDLE  ALT=\"y+=+-%285%2F2%29x\"   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%2B%28-%285%2F2%29x%29%2B2%2810.5x+%2B+22%29=-3 ALIGN=MIDDLE  ALT=\"5x%2B%28-%285%2F2%29x%29%2B2%2810.5x+%2B+22%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >..................3...calculate <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=5x-%285%2F2%29x%2B21x+%2B44=-3 ALIGN=MIDDLE  ALT=\"5x-%285%2F2%29x%2B21x+%2B44=-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=26x-2.5x+=-3-44 ALIGN=MIDDLE  ALT=\"26x-2.5x+=-3-44\"   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=23.5x+=+-47 ALIGN=MIDDLE  ALT=\"23.5x+=+-47\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-47%2F23.5 ALIGN=MIDDLE  ALT=\"x+=+-47%2F23.5\"   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+=+-2 ALIGN=MIDDLE  ALT=\"x+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <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" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%285%2F2%29x ALIGN=MIDDLE  ALT=\"y+=+-%285%2F2%29x\"   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+=+-%285%2F2%29%28-2%29 ALIGN=MIDDLE  ALT=\"y+=+-%285%2F2%29%28-2%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+=+-%285%2Fcross%282%29%29%28-cross%282%29%29 ALIGN=MIDDLE  ALT=\"y+=+-%285%2Fcross%282%29%29%28-cross%282%29%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+=+5 ALIGN=MIDDLE  ALT=\"y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+10.5%28-2%29+%2B+22 ALIGN=MIDDLE  ALT=\"z=+10.5%28-2%29+%2B+22\"   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=+-21+%2B+22 ALIGN=MIDDLE  ALT=\"z=+-21+%2B+22\"   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=+1 ALIGN=MIDDLE  ALT=\"z=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your answer is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2 ALIGN=MIDDLE  ALT=\"x+=+-2\"   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+=+5 ALIGN=MIDDLE  ALT=\"y+=+5\"   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=+1 ALIGN=MIDDLE  ALT=\"z=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y%2Bz=22 ALIGN=MIDDLE  ALT=\"2x%2B5y%2Bz=22\"   DISABLED_style= \"max-width:90%; height:auto;\" >.................1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28-2%29%2B5%2A5%2B1=22 ALIGN=MIDDLE  ALT=\"2%28-2%29%2B5%2A5%2B1=22\"   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=-4%2B25%2B1=22 ALIGN=MIDDLE  ALT=\"-4%2B25%2B1=22\"   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=-4%2B26=22 ALIGN=MIDDLE  ALT=\"-4%2B26=22\"   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=22=22 ALIGN=MIDDLE  ALT=\"22=22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );