document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143738>Question 143738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7.	Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2B3y-z+=+-2%2C+4x%2B6y%2B3z+=+4%2C+2x-y%2B2z+=+10%29 ALIGN=MIDDLE  ALT=\"system%28x%2B3y-z+=+-2%2C+4x%2B6y%2B3z+=+4%2C+2x-y%2B2z+=+10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104599 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=104599\">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=x%2B3y-z=-2 ALIGN=MIDDLE  ALT=\"x%2B3y-z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B6y%2B3z=4 ALIGN=MIDDLE  ALT=\"4x%2B6y%2B3z=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2B2z=10 ALIGN=MIDDLE  ALT=\"2x-y%2B2z=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B3y-z%29=2%28-2%29 ALIGN=MIDDLE  ALT=\"2%28x%2B3y-z%29=2%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides of Equation 1 by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B6y-2z=-4 ALIGN=MIDDLE  ALT=\"2x%2B6y-2z=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply. Let's call this Equation 4\r<BR>\n" );
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document.write( "Now add Equation 4 to Equation 3 and call the result Equation 5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B6y-2z=-4 ALIGN=MIDDLE  ALT=\"2x%2B6y-2z=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 4<BR>\n" );
document.write( "+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2B2z=10 ALIGN=MIDDLE  ALT=\"2x-y%2B2z=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 3<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5y=6 ALIGN=MIDDLE  ALT=\"4x%2B5y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Equation 5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B3y-z%29=3%28-2%29 ALIGN=MIDDLE  ALT=\"3%28x%2B3y-z%29=3%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides of Equation 1 by 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9y-3z=-6 ALIGN=MIDDLE  ALT=\"3x%2B9y-3z=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply. Let's call this Equation 6\r<BR>\n" );
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document.write( "Now add Equation 5 to Equation 2  and call the result Equation 7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9y-3z=-6 ALIGN=MIDDLE  ALT=\"3x%2B9y-3z=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 5<BR>\n" );
document.write( "+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B6y%2B3z=4 ALIGN=MIDDLE  ALT=\"4x%2B6y%2B3z=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 2<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B15y=-2 ALIGN=MIDDLE  ALT=\"7x%2B15y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Equation 7\r<BR>\n" );
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document.write( "So we now have the two equations Equation 5 and Equation 7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5y=6 ALIGN=MIDDLE  ALT=\"4x%2B5y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Equation 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B15y=-2 ALIGN=MIDDLE  ALT=\"7x%2B15y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Equation 7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%284x%2B5y%29=-3%286%29 ALIGN=MIDDLE  ALT=\"-3%284x%2B5y%29=-3%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Multiply both sides of Equation 5 by -3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B15y=-2 ALIGN=MIDDLE  ALT=\"7x%2B15y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Equation 7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x-15y=-18 ALIGN=MIDDLE  ALT=\"-12x-15y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Distribute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B15y=-2 ALIGN=MIDDLE  ALT=\"7x%2B15y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Equation 7\r<BR>\n" );
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document.write( "Now add the equations\r<BR>\n" );
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document.write( "+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B15y=-2 ALIGN=MIDDLE  ALT=\"7x%2B15y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x=-20 ALIGN=MIDDLE  ALT=\"-5x=-20\"   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=%28-20%29%2F%28-5%29 ALIGN=MIDDLE  ALT=\"x=%28-20%29%2F%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides of the resulting equation by -5 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce. So this is the first part of our answer.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B15y=-2 ALIGN=MIDDLE  ALT=\"7x%2B15y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Go back to Equation 7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%284%29%2B15y=-2 ALIGN=MIDDLE  ALT=\"7%284%29%2B15y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   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=28%2B15y=-2 ALIGN=MIDDLE  ALT=\"28%2B15y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Multiply \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15y=-2-28 ALIGN=MIDDLE  ALT=\"15y=-2-28\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 28 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15y=-30 ALIGN=MIDDLE  ALT=\"15y=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-30%29%2F%2815%29 ALIGN=MIDDLE  ALT=\"y=%28-30%29%2F%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 15 to isolate y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Reduce. So this is the second part of our answer.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y-z=-2 ALIGN=MIDDLE  ALT=\"x%2B3y-z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to Equation 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B3%28-2%29-z=-2 ALIGN=MIDDLE  ALT=\"4%2B3%28-2%29-z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-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=4-6-z=-2 ALIGN=MIDDLE  ALT=\"4-6-z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-z-2=-2 ALIGN=MIDDLE  ALT=\"-z-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-z=-2%2B2 ALIGN=MIDDLE  ALT=\"-z=-2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add 2 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-z=0 ALIGN=MIDDLE  ALT=\"-z=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%280%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"z=%280%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -1 to isolate z\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=0 ALIGN=MIDDLE  ALT=\"z=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide. So this is the third part of our answer.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=0 ALIGN=MIDDLE  ALT=\"z=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which forms the point (4,-2,0)\r<BR>\n" );
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