document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745029>Question 745029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of \"z\" in the solution of this system? I need the work to be shown because i don't understand others like this. <BR>\n" );
document.write( "2x+3y+2z=2<BR>\n" );
document.write( "x-4y+6z=-25<BR>\n" );
document.write( "3x+5y-4z=25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453674 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=453674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "2x+3y+2z=2<BR>\n" );
document.write( "x-4y+6z=-25<BR>\n" );
document.write( "3x+5y-4z=25<BR>\n" );
document.write( "--------------\r<BR>\n" );
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document.write( "Wanted: z\r<BR>\n" );
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document.write( "Second Equation<BR>\n" );
document.write( "x-4y+6z=-25<BR>\n" );
document.write( "x=4y-6z-25\r<BR>\n" );
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document.write( "Third equation<BR>\n" );
document.write( "substitute for x,<BR>\n" );
document.write( "3(4y-6z-25)+5y-4z=25<BR>\n" );
document.write( "12y-18z-75+5y-4z=25<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2817y-22z=100%29 ALIGN=MIDDLE  ALT=\"highlight%2817y-22z=100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First equation<BR>\n" );
document.write( "substitute for x,<BR>\n" );
document.write( "2x+3y+2z=2<BR>\n" );
document.write( "2(4y-6z-25)+3y+2z=2<BR>\n" );
document.write( "8y-12z-50+3y+2z=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2811y-10z=52%29 ALIGN=MIDDLE  ALT=\"highlight%2811y-10z=52%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the now simpler system<BR>\n" );
document.write( "17y-22z=100<BR>\n" );
document.write( "11y-10z=52<BR>\n" );
document.write( "---------\r<BR>\n" );
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document.write( "17y=100+22z<BR>\n" );
document.write( "y=(100+22z)/17<BR>\n" );
document.write( "and<BR>\n" );
document.write( "11y=52+10z<BR>\n" );
document.write( "y=(52+10z)/11<BR>\n" );
document.write( "Equating equal expressions of y,<BR>\n" );
document.write( "(100+22z)/17=(52+10z)/11<BR>\n" );
document.write( "11(100+22z)=17(52+10z)<BR>\n" );
document.write( "1100+242z=884+170z<BR>\n" );
document.write( "1100-884=(170-242)z<BR>\n" );
document.write( "216=-72z<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=-3%29 ALIGN=MIDDLE  ALT=\"highlight%28z=-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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