document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44373>Question 44373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having some difficulty with an equation. I worked it out, atleast I thought I did, and I got a totaly different answer then the real answer.\r<BR>\n" );
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document.write( "4x-3y+7z=38<BR>\n" );
document.write( "x+4y+z=16<BR>\n" );
document.write( "   5y-z=6\r<BR>\n" );
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document.write( "my final was x=45, y=-2, z=-21<BR>\n" );
document.write( "According to my assignments, it was totaly different.<BR>\n" );
document.write( "Can you help me with this equation please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29454 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=29454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-3y%2B7z+=+38 ALIGN=MIDDLE  ALT=\"4x-3y%2B7z+=+38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4y%2Bz+=+16 ALIGN=MIDDLE  ALT=\"x%2B4y%2Bz+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y-z+=+6 ALIGN=MIDDLE  ALT=\"5y-z+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Rewrite equation 3) as:<BR>\n" );
document.write( "3a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+5y-6 ALIGN=MIDDLE  ALT=\"z+=+5y-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute into equations 1) and 2) to eliminate the variable z.\r<BR>\n" );
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document.write( "1a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-3y%2B7%285y-6%29+=+38 ALIGN=MIDDLE  ALT=\"4x-3y%2B7%285y-6%29+=+38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4y%2B%285y-6%29+=+16 ALIGN=MIDDLE  ALT=\"x%2B4y%2B%285y-6%29+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify 1a) and 2a)\r<BR>\n" );
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document.write( "1b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B32y+=+80 ALIGN=MIDDLE  ALT=\"4x%2B32y+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9y+=+22 ALIGN=MIDDLE  ALT=\"x%2B9y+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply equation 2b) by 4 and subtract equation 1b) from it.\r<BR>\n" );
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document.write( "2b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B36y+=+88 ALIGN=MIDDLE  ALT=\"4x%2B36y+=+88\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1b) -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B32y+=+80 ALIGN=MIDDLE  ALT=\"4x%2B32y+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+=+8 ALIGN=MIDDLE  ALT=\"4y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide bothe sides by 4.<BR>\n" );
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;\" > Substitute this into equation 3a) and solve for z.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+5%282%29-6 ALIGN=MIDDLE  ALT=\"z+=+5%282%29-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+10-6 ALIGN=MIDDLE  ALT=\"z+=+10-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+4 ALIGN=MIDDLE  ALT=\"z+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finally, substitute y=2 and z=4 into equation 2 (or into equation 1) and solve for x.\r<BR>\n" );
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document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4%282%29%2B4+=+16 ALIGN=MIDDLE  ALT=\"x%2B4%282%29%2B4+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B12+=+16 ALIGN=MIDDLE  ALT=\"x%2B12+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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;\" >\r<BR>\n" );
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document.write( "Check: Substitute x = 4, y = 2, and z = 4 into the three original equations.\r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%284%29-3%282%29%2B7%284%29+=+16-6%2B28 ALIGN=MIDDLE  ALT=\"4%284%29-3%282%29%2B7%284%29+=+16-6%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 38 It checks!<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B4%282%29%2B4+=+4%2B8%2B4 ALIGN=MIDDLE  ALT=\"4%2B4%282%29%2B4+=+4%2B8%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16 It checks!<BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%282%29-4+=+10-4 ALIGN=MIDDLE  ALT=\"5%282%29-4+=+10-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6 It checks!<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );