document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265448>Question 265448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this system of equations:\r<BR>\n" );
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document.write( "36x-15y+50z=-10<BR>\n" );
document.write( "2x+25y=40<BR>\n" );
document.write( "54x-5y+30z=-160\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195156 by </B><A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><B>vksarvepalli(154)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><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=vksarvepalli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 36x-15y+50z=-10   ----------------------- 1<BR>\n" );
document.write( "2x+25y=40         ----------------------- 2<BR>\n" );
document.write( "54x-5y+30z=-160   ----------------------- 3\r<BR>\n" );
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document.write( "multiply eq. 1 by 3 and eq. 3 by 5 and then subtract both (to eliminate z)\r<BR>\n" );
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document.write( "so we get 108x-45y+150z=-30 <BR>\n" );
document.write( "          270x-25y+150z=-800\r<BR>\n" );
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document.write( "          -162x-20y=770 \r<BR>\n" );
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document.write( "now multiply eq.2 by 81 and add to the above eq.<BR>\n" );
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document.write( "we get 2005y=4010\r<BR>\n" );
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document.write( "so y=2      <BR>\n" );
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document.write( "from eq. 2 \r<BR>\n" );
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document.write( "2x+50=40 => 2x=-10 <BR>\n" );
document.write( "=> x=-5\r<BR>\n" );
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document.write( "from eq.1 -180-30+50z=-10\r<BR>\n" );
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document.write( "so 50z=200\r<BR>\n" );
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document.write( "=> z=4\r<BR>\n" );
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document.write( "so x=-5, y=2, z=4 </SPAN>\n" );
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