document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632151>Question 632151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.\r<BR>\n" );
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document.write( "2x + y + z = –7<BR>\n" );
document.write( "x – 3y + 4z = –14<BR>\n" );
document.write( "x – 2y – 3z = –11 \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398088 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=398088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x + y + z = –7<BR>\n" );
document.write( "x – 3y + 4z = –14<BR>\n" );
document.write( "x – 2y – 3z = –11<BR>\n" );
document.write( "We can use elimination here, Multiply the 1st equation by -1<BR>\n" );
document.write( "-2x -y - z = 7<BR>\n" );
document.write( "x – 3y + 4z = –14<BR>\n" );
document.write( "x – 2y – 3z = –11<BR>\n" );
document.write( "---------------------Adding eliminates x and z, find y<BR>\n" );
document.write( "0 - 6y = - 18<BR>\n" );
document.write( "y = -18/-6<BR>\n" );
document.write( "y = +3<BR>\n" );
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document.write( "Find x and z<BR>\n" );
document.write( "Use the 2nd and 3rd equations, replace y with 3<BR>\n" );
document.write( "x – 3(3) + 4z = –14<BR>\n" );
document.write( "x – 2(3) – 3z = –11<BR>\n" );
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document.write( "x - 9 + 4z = -14<BR>\n" );
document.write( "x - 6 - 3z = -11<BR>\n" );
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document.write( "x + 4z = -14 + 9<BR>\n" );
document.write( "x - 3z = -11 + 6<BR>\n" );
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document.write( "x + 4z = -5<BR>\n" );
document.write( "x - 3z = -5<BR>\n" );
document.write( "--------------subtraction eliminates x find z<BR>\n" );
document.write( "7z = 0<BR>\n" );
document.write( "z = 0<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "x = -5<BR>\n" );
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document.write( "Check solutions in the 1st original equation<BR>\n" );
document.write( "2x + y + z = –7<BR>\n" );
document.write( "2(-5) + 3 + 0 = <BR>\n" );
document.write( "-10 + 3 = -7\r<BR>\n" );
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