document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53806>Question 53806</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078279992/algebrahomeworkh>Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve <BR>\n" );
document.write( "5x+2y=4<BR>\n" );
document.write( "3x+4y+2z=6<BR>\n" );
document.write( "7x+3y+4z=29 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36053 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=36053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x+2y=4<BR>\n" );
document.write( "3x+4y+2z=6<BR>\n" );
document.write( "7x+3y+4z=29<BR>\n" );
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document.write( "Notice that the 1st equation only has two unknowns x & y, so we can use the<BR>\n" );
document.write( "elimination method on the 2nd & 3rd equations to eliminate z. Then we can<BR>\n" );
document.write( "pair the results of that, with the 1st equation, and work with two equations<BR>\n" );
document.write( "and two unknowns, which is pretty managable.<BR>\n" );
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document.write( "Mult the 2nd equation by 2 and subtract it from the 3rd equation:<BR>\n" );
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document.write( "7x + 3y + 4z = 29<BR>\n" );
document.write( "6x + 8y + 4z = 12<BR>\n" );
document.write( "------------------subtract<BR>\n" );
document.write( " x - 5y + 0z = 17<BR>\n" );
document.write( "or just:<BR>\n" );
document.write( "x - 5y = 17<BR>\n" );
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document.write( "Do the following to eliminate x from x - 5y = 17 and the 1st equation<BR>\n" );
document.write( "Mult it by 5 and subtract it from the 1st equation:<BR>\n" );
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document.write( "5x + 2y = 4<BR>\n" );
document.write( "5x -25y = 85<BR>\n" );
document.write( "----------------- subtract<BR>\n" );
document.write( "0x + 27y = -81<BR>\n" );
document.write( "       y = -81/27<BR>\n" );
document.write( "       y =  -3<BR>\n" );
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document.write( "Find x: substitute -3 for y in the 1st equation<BR>\n" );
document.write( " 5x + 2(-3) = 4<BR>\n" );
document.write( " 5x - 6 = 4<BR>\n" );
document.write( "      5x = 4 +6<BR>\n" );
document.write( "       x = 10/5<BR>\n" );
document.write( "       x = +2<BR>\n" );
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document.write( "Substitute for x & y in the 2nd equation and find z<BR>\n" );
document.write( "  3(2) + 4(-3) + 2z = 6<BR>\n" );
document.write( "     +6   - 12  + 2z = 6<BR>\n" );
document.write( "          -6 + 2z = 6 <BR>\n" );
document.write( "                 2z = 6 + 6<BR>\n" );
document.write( "                  z = 12/2<BR>\n" );
document.write( "                  z = +6\r<BR>\n" );
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document.write( "Finally, check all three solutions in the 3rd equation:<BR>\n" );
document.write( "7(2) + 3(-3) + 4(6) = <BR>\n" );
document.write( " 14  - 9 + 24 = 29  <BR>\n" );
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document.write( "A lot of steps, but not that complicated, hope it makes sense to you.<BR>\n" );
document.write( " </SPAN>\n" );
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