document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968954>Question 968954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble trying to solve this problem. I would be very grateful if you could explain to me the steps in finding the answers. \r<BR>\n" );
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document.write( "Solve each system using any method: [referring to substitution and elimination] \r<BR>\n" );
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document.write( "3x-2y-3z=0<BR>\n" );
document.write( "x-3y+z=10 <BR>\n" );
document.write( "2x+2y-4z=-10 \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 #592014 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=592014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x - 2y - 3z = 0<BR>\n" );
document.write( "x - 3y + z = 10<BR>\n" );
document.write( "2x + 2y -4z =-10<BR>\n" );
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document.write( "Multiply the 1st equation by -1 to change the signs<BR>\n" );
document.write( "-3x + 2y +3z = 0<BR>\n" );
document.write( "x - 3y + z = 10<BR>\n" );
document.write( "2x + 2y -4z =-10 <BR>\n" );
document.write( "-------------------Addition eliminates x and z<BR>\n" );
document.write( " 0 + y + 0 = 0<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "Back to the 1st equation replace y with 0 and you have<BR>\n" );
document.write( "3x - 3z = 0<BR>\n" );
document.write( "3x = 3z<BR>\n" );
document.write( "divide both sides by 3, therefore<BR>\n" );
document.write( "x = z<BR>\n" );
document.write( "Back to the 3rd original equation, replace z with x and y with 0<BR>\n" );
document.write( "2x - 4x = - 10<BR>\n" );
document.write( "-2x = -10<BR>\n" );
document.write( "x = -10/-2<BR>\n" );
document.write( "x = +5<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "z = 5 also<BR>\n" );
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document.write( "We have x=5, y=0, z=5<BR>\n" );
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document.write( "See if that checks out in the 2nd original equation<BR>\n" );
document.write( "x - 3y + z = 10<BR>\n" );
document.write( "replace x with 5, y with 0, z with 5<BR>\n" );
document.write( "5 - 0 + 5 = 10<BR>\n" );
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