document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417614>Question 417614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please answer this problem using systems of linear equations in three variables.\r<BR>\n" );
document.write( "\n" );
document.write( "The sum of the length, width and the height  of a rectangular box is 17 cm. Twice the width exceeds the height by by 1 and the sum of the length and the width is shorter than the height by 1 cm. Find the dimensions of the box. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292376 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> l+w+h=17 (1)<BR>\n" );
document.write( "2w=h+1   (2) <BR>\n" );
document.write( "l+w=h-1  (3)<BR>\n" );
document.write( "Substitute the value for l+w from (3) into (1)<BR>\n" );
document.write( "h-1+h=17 -> h=9<BR>\n" );
document.write( "Using (2), we get 2w=10 or w=5<BR>\n" );
document.write( "Use (1) or (3) to get l<BR>\n" );
document.write( "From (3) we have l+5=8 or l=3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );