document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228736>Question 228736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is 2x-y+z=14<BR>\n" );
document.write( "-x+2y-4z=5<BR>\n" );
document.write( " x+4y-6z=-1 <BR>\n" );
document.write( "This is solve the system using the elimination method get the x,y, and z please help this is hard. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169791 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x - y + z = 14<BR>\n" );
document.write( "-x+ 2y -4z = 5<BR>\n" );
document.write( "x + 4y -6z =-1 <BR>\n" );
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document.write( "You're right this is a pain!<BR>\n" );
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document.write( "Add the 2nd and 3rd equations, to eliminate x<BR>\n" );
document.write( "-x+ 2y -4z = 5<BR>\n" );
document.write( "x + 4y -6z =-1<BR>\n" );
document.write( "-----------------adding eliminates x<BR>\n" );
document.write( "0 + 6y - 10z = 4<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "3y - 5z = 2<BR>\n" );
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document.write( "Multiply the 2nd equation by 2 and add to the 1st equation<BR>\n" );
document.write( "2x - y + z = 14<BR>\n" );
document.write( "-2x+ 4y -8z = 10<BR>\n" );
document.write( "-----------------addition eliminates x again<BR>\n" );
document.write( "0 + 3y - 7z = 24<BR>\n" );
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document.write( "Two 2 unknown equation to deal with now<BR>\n" );
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document.write( "Subtract 3y - 5z = 2 from the above equation<BR>\n" );
document.write( "3y - 7z = 24<BR>\n" );
document.write( "3y - 5z = 2<BR>\n" );
document.write( "---------------subtraction eliminates y, find z<BR>\n" );
document.write( "0 - 2z = 22<BR>\n" );
document.write( "-2z = 22<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F%28-2%29 ALIGN=MIDDLE  ALT=\"22%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = -11<BR>\n" );
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document.write( "find y using the equation 3y - 5z = 2<BR>\n" );
document.write( "3y - 5(-11) = 2<BR>\n" );
document.write( "3y + 55 = 2<BR>\n" );
document.write( "3y = 2 - 55<BR>\n" );
document.write( "3y = -53<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=53%2F3 ALIGN=MIDDLE  ALT=\"53%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = -17.667<BR>\n" );
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document.write( "Find x using the 1st equation 2x - y + z = 14<BR>\n" );
document.write( "2x - (-17<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 11 = 14<BR>\n" );
document.write( "2x  + 17<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 11 = 14<BR>\n" );
document.write( "2x + 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 14<BR>\n" );
document.write( "2x = 14 - 6.667; go to decimals here<BR>\n" );
document.write( "2x = 7.333<BR>\n" );
document.write( "x = 3.667<BR>\n" );
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document.write( "It's kind of disgusting they give you a problem that doesn't have integer solutions. <BR>\n" );
document.write( " I checked this using the matrix feature on my TI83, so I think it's right<BR>\n" );
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