document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247356>Question 247356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 x 	 - y 	 + z 	 = 9<BR>\n" );
document.write( "3 x 	-5 y 	+ 4 z 	= 30<BR>\n" );
document.write( "5 x 	+ y 	-2 z 	= 4 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "please show work, so i can understand how to do it. thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180479 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=180479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 x - y + z = 9<BR>\n" );
document.write( "3 x -5 y + 4 z = 30<BR>\n" );
document.write( "5 x + y -2 z = 4 <BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Subtract 1st Eq for 2nd to get:<BR>\n" );
document.write( "2 x - y + z = 9<BR>\n" );
document.write( "x -4 y + 3 z = 21<BR>\n" );
document.write( "5 x + y -2 z = 4<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Make the 2nd Equation the 1st:<BR>\n" );
document.write( "x - 4y + 3 z = 21<BR>\n" );
document.write( "2x - y + z   =  9<BR>\n" );
document.write( "5x + y -2 z = 4<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Subtract 2 times 1st from 2nd<BR>\n" );
document.write( "Subtract 5 times 1st from 3rd to get<BR>\n" );
document.write( "x - 4y + 3 z = 21<BR>\n" );
document.write( "0x + 7y -5z = -33<BR>\n" );
document.write( "0x +21y -17z = -101<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Subtract 3 times 2nd from the 3rd to get:<BR>\n" );
document.write( "x - 4y + 3 z = 21<BR>\n" );
document.write( "0x + 7y -5z = -33<BR>\n" );
document.write( "0x + 0y -2z = -2<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Solve 3rd for \"z\" : z = 1<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Substitute z=1 into 2nd Eq. and solve for \"y\":<BR>\n" );
document.write( "7y - 5 = -33<BR>\n" );
document.write( "7y = -28<BR>\n" );
document.write( "y = -4<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Substitute z = 1 and y = -4 into the 1st Eq and solve for \"x.<BR>\n" );
document.write( "x -4*-4 + 3*1 = 21<BR>\n" );
document.write( "x + 16 + 3 = 21<BR>\n" );
document.write( "x + 19 = 21<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Final solution: <BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "y = -4<BR>\n" );
document.write( "z = 1<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );