document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67391>Question 67391</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131490788/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 2/5x +1 = 1-x<BR>\n" );
document.write( "On both sides of the equal sign are absolute value brackets. What I'm unsure of is, what or how do I get rid of the fraction 2/5x ?<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Bob </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47939 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=47939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> |(2/5)x +1| = |1-x|<BR>\n" );
document.write( "Find the zero values.<BR>\n" );
document.write( "(2/5)x+1=0<BR>\n" );
document.write( "x=-5/2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "1-x=0<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Draw a number line and mark two points as -5/2 and 1.<BR>\n" );
document.write( "This breaks the number line into three segments.  We<BR>\n" );
document.write( "need to look for solutions in each segment, keeping in<BR>\n" );
document.write( "mind the definition of absolute value.<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "In the segment (-inf,-5/2) you get:<BR>\n" );
document.write( "-(2/5x+1)=1-x<BR>\n" );
document.write( "(2/5)x+1=x-1<BR>\n" );
document.write( "(3/5)x=2<BR>\n" );
document.write( "x=10/3<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "In the segment (-5/2,1) you get:<BR>\n" );
document.write( "(2/5)x+1=1-x<BR>\n" );
document.write( "(7/5)x=0<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "In the segment (1,inf) you get:<BR>\n" );
document.write( "(2/5)x+1 = x-1<BR>\n" );
document.write( "-(3/5)x=-2<BR>\n" );
document.write( "(3/5)x=2<BR>\n" );
document.write( "x=10/3<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Check these answers:<BR>\n" );
document.write( "If x=0, |(2/5)x+1| = 1 = |1-x|<BR>\n" );
document.write( "If x=10/3,  |(2/5)x+1] = |4/3+3/3| = 7/3 = |10/3-1|\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );