document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118569>Question 1118569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5. Solve the following system of equations algebraically.  A trial-and-error or calculator solution is not acceptable!\r<BR>\n" );
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document.write( "1. 4x + y + 2z = 24\r<BR>\n" );
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document.write( "2. 2x &#8722; y &#8722; 2z = &#8722;6\r<BR>\n" );
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document.write( "3. &#8722;x + 2y &#8722; z = &#8722;4\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 #733928 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=733928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> add equations 1 and 2 together<BR>\n" );
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document.write( "6x = 18<BR>\n" );
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document.write( "x = 3<BR>\n" );
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document.write( "substitute for x in equations 2 and 3<BR>\n" );
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document.write( "(2) 6 -y -2z = -6<BR>\n" );
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document.write( "(3) -3 +2y -z = -4<BR>\n" );
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document.write( "solve equation 2 for y<BR>\n" );
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document.write( "y = 12 -2z<BR>\n" );
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document.write( "substitute for y in equation 3<BR>\n" );
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document.write( "-3 +2(12-2z) -z = -4<BR>\n" );
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document.write( "24 -4z -z = -1<BR>\n" );
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document.write( "-5z = -25<BR>\n" );
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document.write( "z = 5<BR>\n" );
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document.write( "substitute for x and z in equation 1<BR>\n" );
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document.write( "4(3) +y + 2(5) = 24<BR>\n" );
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document.write( "12 +y +10 = 24<BR>\n" );
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document.write( "y = 2<BR>\n" );
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document.write( "x = 3, y = 2, z = 5<BR>\n" );
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document.write( "check the answer<BR>\n" );
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document.write( "equation 1<BR>\n" );
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document.write( "4(3) +2 +2(5) = 24<BR>\n" );
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document.write( "12 +2 + 10 = 24<BR>\n" );
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document.write( "24 = 24<BR>\n" );
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document.write( "equation 2<BR>\n" );
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document.write( "2(3) -2 -2(5) = -6<BR>\n" );
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document.write( "6 -2 -10 = -6<BR>\n" );
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document.write( "-6 = -6<BR>\n" );
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document.write( "equation 3<BR>\n" );
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document.write( "-3 +2(2) -5 = -4<BR>\n" );
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document.write( "-3 +4 -5 = -4<BR>\n" );
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document.write( "-4 = -4<BR>\n" );
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document.write( "answer checks<BR>\n" );
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