document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105836>Question 105836</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395937787/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> i need to solve -2x+y+z=-2<BR>\n" );
document.write( "                5x+3y+3z=71<BR>\n" );
document.write( "                4x-2y-3z=1\r<BR>\n" );
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document.write( "i have to solve for x,y, and z PLEASE HELP!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77161 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=77161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  solve <BR>\n" );
document.write( "Eq1: -2x + y + z  = -2<BR>\n" );
document.write( "Eq2: 5x + 3y + 3z = 71<BR>\n" );
document.write( "Eq3: 4x - 2y - 3z = 1<BR>\n" );
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document.write( "We can solve it by using elimination:\r<BR>\n" );
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document.write( "using equations 2 & 3<BR>\n" );
document.write( "5x + 3y + 3z = 71<BR>\n" );
document.write( "4x - 2y - 3z = 1<BR>\n" );
document.write( "-----------------adding eliminates z<BR>\n" );
document.write( "9x + 1y + 0z = 72<BR>\n" );
document.write( "9x + y = 72<BR>\n" );
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document.write( "Using equations 1 and 3:<BR>\n" );
document.write( " Mult eq 1 by 3 and add it to equation 3<BR>\n" );
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document.write( "-6x + 3y + 3z = -6<BR>\n" );
document.write( " 4x - 2y - 3z = 1<BR>\n" );
document.write( "-----------------adding eliminates 3 again<BR>\n" );
document.write( "-2x + 1y + 0z = -5<BR>\n" );
document.write( "-2x + y = -5<BR>\n" );
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document.write( "We have two 2 unknown equations to work with now:<BR>\n" );
document.write( "Subtract the 2nd one from the 1st one.<BR>\n" );
document.write( "9x + y = 72<BR>\n" );
document.write( "-2x +y = -5<BR>\n" );
document.write( "--------------subtracting eliminates y, find x<BR>\n" );
document.write( "11x + 0y = 77<BR>\n" );
document.write( "x = 77/11<BR>\n" );
document.write( "x = 7<BR>\n" );
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document.write( "Use 9x + y = 72 to find y<BR>\n" );
document.write( "9(7) + y = 72<BR>\n" );
document.write( "63 + y = 72<BR>\n" );
document.write( "y = 72 - 63<BR>\n" );
document.write( "y = 9<BR>\n" );
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document.write( "I'm sure you can find a way to find z. Check all 3 solutions in one of the<BR>\n" );
document.write( "original equations  </SPAN>\n" );
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