document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=904087>Question 904087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi would you please help me with this question and could you show me the steps on how to solve it please.\r<BR>\n" );
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document.write( "Solve the system of equations:<BR>\n" );
document.write( "x + y+ z=9<BR>\n" );
document.write( "2x+4y+2z=14<BR>\n" );
document.write( "-x+8y-3z= -39\r<BR>\n" );
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document.write( "My professor said the solution set is {(5,-2,6)} \r<BR>\n" );
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document.write( "Can you kindly show me how he got those answers please. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548514 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How he solved to get the answer he would know better than anyone else.  More than one way to do it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C1%2C1%2C9%2C%0D%0A2%2C4%2C2%2C14%2C%0D%0A-1%2C8%2C-3%2C-39%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify the second equation with the \"14\";\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C1%2C1%2C9%2C%0D%0A1%2C2%2C1%2C7%2C%0D%0A-1%2C8%2C-3%2C-39%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add R1 to R3 for new R3;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C1%2C1%2C9%2C%0D%0A1%2C2%2C1%2C7%2C%0D%0A0%2C9%2C-2%2C-30%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Revise R2 as R2-R1;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C1%2C1%2C9%2C%0D%0A0%2C1%2C0%2C-2%2C%0D%0A0%2C9%2C-2%2C-30%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The y variable is now solved as found in the second row, that y=-2.  \r<BR>\n" );
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document.write( "Re-order the rows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C1%2C1%2C9%2C%0D%0A0%2C9%2C-2%2C-30%2C%0D%0A0%2C1%2C0%2C-2%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Revise R2 as  R2-9*R3;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C1%2C1%2C9%2C%0D%0A0%2C0%2C-2%2C-12%2C%0D%0A0%2C1%2C0%2C-2%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Revise R2 as -(1/2)*R2;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C1%2C1%2C9%2C%0D%0A0%2C0%2C1%2C6%2C%0D%0A0%2C1%2C0%2C-2%0D%0A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That row 2 now shows <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=6%29 ALIGN=MIDDLE  ALT=\"highlight%28z=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "And you also know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Avoiding further matrix operations, the Row 1 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=9 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9-y-z ALIGN=MIDDLE  ALT=\"x=9-y-z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9%2B2-6 ALIGN=MIDDLE  ALT=\"x=9%2B2-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9-4 ALIGN=MIDDLE  ALT=\"x=9-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "Solved for x, y, and z to the same values as your professor found. </SPAN>\n" );
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