document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579928>Question 579928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three numbers is 2. If twice the second number is added to the sum of first and third, we get 1. On adding the sum of second and third number to five times the first, we get 6. Find the three number by using matrices. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371108 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=371108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of three numbers is 2. If twice the second number is added to the sum of first and third, we get 1. On adding the sum of second and third number to five times the first, we get 6. Find the three number by using matrices.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "x + y + z = 2<BR>\n" );
document.write( "2y + x+z = 1<BR>\n" );
document.write( "y+z + 5x = 6<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "x + y + z = 2<BR>\n" );
document.write( "x +2y + z = 1<BR>\n" );
document.write( "5x+ y + z = 6<BR>\n" );
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document.write( "I used the matrix function on my TI-84 to get:<BR>\n" );
document.write( "x = 1 <BR>\n" );
document.write( "y = -1<BR>\n" );
document.write( "z = 2<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );