document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42764>Question 42764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need answer to this asap. I'm just not getting these...\r<BR>\n" );
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document.write( "(9x+8) = (-3x+9)\r<BR>\n" );
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document.write( "The (  ) represent absolute value marks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27859 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the scoop. When you see the absolute value signs,<BR>\n" );
document.write( "do whatever's inside them as if they weren't there.<BR>\n" );
document.write( "Then, whatever the sign of the result is, make it POSITIVE.<BR>\n" );
document.write( "Also, abs(a + b) does not equal  abs(a) + abs(b)<BR>\n" );
document.write( "You can see this by choosing a & b<BR>\n" );
document.write( "abs(3 + (-5)) =?  abs(3) + abs(-5)<BR>\n" );
document.write( "2 not equal to 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28ab%29+=+abs%28a%29%2Aabs%28b%29 ALIGN=MIDDLE  ALT=\"abs%28ab%29+=+abs%28a%29%2Aabs%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28a%2Fb%29+=+abs%28a%29%2Fabs%28b%29 ALIGN=MIDDLE  ALT=\"abs%28a%2Fb%29+=+abs%28a%29%2Fabs%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%289x%2B8%29+=+abs%28-3x%2B9%29 ALIGN=MIDDLE  ALT=\"abs%289x%2B8%29+=+abs%28-3x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I applied a little logic here. It's a dumbed-down <BR>\n" );
document.write( "approach, but it works.<BR>\n" );
document.write( "x will be positive OR negative. It might be either one,<BR>\n" );
document.write( "so I'll try both cases. I'll say x = +a OR x = -a.<BR>\n" );
document.write( "I'll drop the absolute value sign and pick them up<BR>\n" );
document.write( "later.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Aa+%2B+8+=+-3%2Aa+%2B+9 ALIGN=MIDDLE  ALT=\"9%2Aa+%2B+8+=+-3%2Aa+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12a+=+1 ALIGN=MIDDLE  ALT=\"12a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1%2F12 ALIGN=MIDDLE  ALT=\"a+=+1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the other possibility,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A%28-a%29%2B+8+=+-3%2A%28-a%29+%2B+9 ALIGN=MIDDLE  ALT=\"9%2A%28-a%29%2B+8+=+-3%2A%28-a%29+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12a+=+1 ALIGN=MIDDLE  ALT=\"-12a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-1%2F12 ALIGN=MIDDLE  ALT=\"a+=+-1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check the 1st case, a = 1/12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%289x%2B8%29+=+abs%28-3x%2B9%29 ALIGN=MIDDLE  ALT=\"abs%289x%2B8%29+=+abs%28-3x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%289%281%2F12%29%2B8%29+=+abs%28-3%281%2F12%29%2B9%29 ALIGN=MIDDLE  ALT=\"abs%289%281%2F12%29%2B8%29+=+abs%28-3%281%2F12%29%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%289%2F12%29%2B8%29+=+abs%28%28-3%2F12%29%2B9%29 ALIGN=MIDDLE  ALT=\"abs%28%289%2F12%29%2B8%29+=+abs%28%28-3%2F12%29%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%289%2F12%29%2B%288%2A12%29%2F12%29+=+abs%28%28-3%2F12%29%2B%289%2A12%29%2F12%29 ALIGN=MIDDLE  ALT=\"abs%28%289%2F12%29%2B%288%2A12%29%2F12%29+=+abs%28%28-3%2F12%29%2B%289%2A12%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%289%2F12+%2B+96%2F12%29+=+abs%28-3%2F12+%2B+108%2F12%29 ALIGN=MIDDLE  ALT=\"abs%289%2F12+%2B+96%2F12%29+=+abs%28-3%2F12+%2B+108%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%289+%2B+96%29%2F12%29+=+abs%28%28-3+%2B+108%29%2F12%29 ALIGN=MIDDLE  ALT=\"abs%28%289+%2B+96%29%2F12%29+=+abs%28%28-3+%2B+108%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28105%2F12%29%29+=+abs%28-105%2F12%29 ALIGN=MIDDLE  ALT=\"abs%28105%2F12%29%29+=+abs%28-105%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this is TRUE<BR>\n" );
document.write( "Let's check the other possibility, a = -1/12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%289%28-1%2F12%29%2B8%29+=+abs%28-3%28-1%2F12%29%2B9%29 ALIGN=MIDDLE  ALT=\"abs%289%28-1%2F12%29%2B8%29+=+abs%28-3%28-1%2F12%29%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%289%2F12%29%2B%288%2A12%29%2F12%29+=+abs%28%283%2F12%29%2B%289%2A12%29%2F12%29 ALIGN=MIDDLE  ALT=\"abs%28%289%2F12%29%2B%288%2A12%29%2F12%29+=+abs%28%283%2F12%29%2B%289%2A12%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%289+%2B+96%29%2F12%29+=+abs%28%283+%2B+108%29%2F12%29 ALIGN=MIDDLE  ALT=\"abs%28%289+%2B+96%29%2F12%29+=+abs%28%283+%2B+108%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28105%2F12%29+=+abs%28111%2F12%29 ALIGN=MIDDLE  ALT=\"abs%28105%2F12%29+=+abs%28111%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NOT TRUE<BR>\n" );
document.write( "So a = +1/12, and x = +1/12 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );