document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=9489>Question 9489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been racking my brain for 2 days trying to answer this equation, but with no avail...\r<BR>\n" );
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document.write( "|10 - 3z| = 9\r<BR>\n" );
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document.write( "I keep getting fractions and mixed numbers (such as 6 1/3 and -1/3 for z) for answers and when I plug them back in the equation, they're never right. Can you please help me?\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Laura </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5190 by </B><A HREF=/tutors/aboutme.mpl?userid=prince_abubu><B>prince_abubu(198)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prince_abubu><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=5190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you see absolute value signs like this, you know that you have to solve two equations.\r<BR>\n" );
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document.write( "I: As is, just take off the absolute value signs.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+-+3z+=+9+ ALIGN=MIDDLE  ALT=\"+10+-+3z+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3z+=+-1+ ALIGN=MIDDLE  ALT=\"+-3z+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+z+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <----- turned out positive since you ended up dividing two negative numbers.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+abs%2810+-+3%281%2F3%29%29+=+abs%2810+-+1%29+=+abs%289%29+=+9+ ALIGN=MIDDLE  ALT=\"+abs%2810+-+3%281%2F3%29%29+=+abs%2810+-+1%29+=+abs%289%29+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "-----------------------------------------<BR>\n" );
document.write( "Case 2: Flip the signs of the terms inside the absolute value\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-10+%2B+3z+=+9+ ALIGN=MIDDLE  ALT=\"+-10+%2B+3z+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3z+=+19+ ALIGN=MIDDLE  ALT=\"+3z+=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+19%2F3+ ALIGN=MIDDLE  ALT=\"+z+=+19%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <----- 19/3 is the same as 6 1/3. We're gonna keep it as an improper fraction, since it's easier to calculate with. Let's check\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+abs%2810+-+3%2819%2F3%29%29+=+abs%2810+-+19%29+=+abs%28-9%29+=+9+ ALIGN=MIDDLE  ALT=\"+abs%2810+-+3%2819%2F3%29%29+=+abs%2810+-+19%29+=+abs%28-9%29+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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