document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71905>Question 71905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi I am stuck on this problem I will give  you the problem then show you what I did so you can tell me where I made my mistakes. Thanks  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B7%2F9%29%2B1=%28%282z%2B1%29%2F6%29%2F18 ALIGN=MIDDLE  ALT=\"%28z%2B7%2F9%29%2B1=%28%282z%2B1%29%2F6%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I did this...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B7%2F9%2B1%29%2A18=2z%2B1%2F6%2F18%2A18 ALIGN=MIDDLE  ALT=\"%28z%2B7%2F9%2B1%29%2A18=2z%2B1%2F6%2F18%2A18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18z%2B126%2F9%2B18=2z%2B1%2F6 ALIGN=MIDDLE  ALT=\"18z%2B126%2F9%2B18=2z%2B1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2z%2B14%2B18=2z%2B1%2F6%2A6 ALIGN=MIDDLE  ALT=\"2z%2B14%2B18=2z%2B1%2F6%2A6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12z%2B192-1=2z%2B1-1 ALIGN=MIDDLE  ALT=\"12z%2B192-1=2z%2B1-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12z%2B191=2z ALIGN=MIDDLE  ALT=\"12z%2B191=2z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12z-12z%2B191=2z-12z ALIGN=MIDDLE  ALT=\"12z-12z%2B191=2z-12z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=191=-10z ALIGN=MIDDLE  ALT=\"191=-10z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=-19.1 ALIGN=MIDDLE  ALT=\"z=-19.1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Looking forward to hearing from you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51391 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=51391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On the second step, where you multiplied everything by 18, the left side looks good, but the right side does not. The reason you multiplied everything by 18 was to cancel out the 18 in the denominator, and it should have stopped there. Here's what it should look like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B7%2F9%29%2B1=%28%282z%2B1%29%2F6%29%2F18 ALIGN=MIDDLE  ALT=\"%28z%2B7%2F9%29%2B1=%28%282z%2B1%29%2F6%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with given problem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%28%28z%2B7%2F9%29%2B1%29=cross%2818%29%2A%28%28%282z%2B1%29%2F6%29%2Fcross%2818%29%29 ALIGN=MIDDLE  ALT=\"18%28%28z%2B7%2F9%29%2B1%29=cross%2818%29%2A%28%28%282z%2B1%29%2F6%29%2Fcross%2818%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >The 18's on the right cancel, you dont have to worry about those anymore.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18z%2B126%2F9%2B18+=+%282z%2B1%29%2F6 ALIGN=MIDDLE  ALT=\"18z%2B126%2F9%2B18+=+%282z%2B1%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now just solve for z<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2818z%2B14%2B18%29+=+cross%286%29%2A%28%282z%2B1%29%2Fcross%286%29%29 ALIGN=MIDDLE  ALT=\"6%2818z%2B14%2B18%29+=+cross%286%29%2A%28%282z%2B1%29%2Fcross%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108z%2B84%2B108+=+2z%2B1 ALIGN=MIDDLE  ALT=\"108z%2B84%2B108+=+2z%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Get all z's to one side and everything else to the opposite side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108z-2z+=+1-108-84 ALIGN=MIDDLE  ALT=\"108z-2z+=+1-108-84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=106z+=+-191 ALIGN=MIDDLE  ALT=\"106z+=+-191\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+-191%2F106 ALIGN=MIDDLE  ALT=\"z+=+-191%2F106\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+-1.801887 ALIGN=MIDDLE  ALT=\"z+=+-1.801887\"   DISABLED_style= \"max-width:90%; height:auto;\" >approximately<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1.801887%2B7%2F9%29%2B1+=+%28%282%28-1.801887%29%2B1%29%2F6%29%2F18 ALIGN=MIDDLE  ALT=\"%28-1.801887%2B7%2F9%29%2B1+=+%28%282%28-1.801887%29%2B1%29%2F6%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.02411%2B1+=+%28-3.603774+%2B+1%29%2F6%2A18 ALIGN=MIDDLE  ALT=\"-1.02411%2B1+=+%28-3.603774+%2B+1%29%2F6%2A18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.02411+=+-0.02411+ ALIGN=MIDDLE  ALT=\"-0.02411+=+-0.02411+\"   DISABLED_style= \"max-width:90%; height:auto;\" > This shows that this answer works<BR>\n" );
document.write( "You can also graph (z+7/9)+1=((2z+1)/6)/18 by changing z to x and graphing them individually (ie y=(x+7/9)+1) and their intersection should be (-1.801887,-0.02411) which is the result we got.<BR>\n" );
document.write( " </SPAN>\n" );
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