document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109881>Question 109881</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073309255/algebrahomeworkh>Algebra for college students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been struggling with this equation for 3 days, and can not understand what I am doing wrong to see the appropriate way to approach solving these types of problems. Please help me understand how to approach solving these types of problems, and what to look for to determine the appropriate method to finding the solution?\r<BR>\n" );
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document.write( "{{z/Z+3}={3Z/5Z-1}} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80082 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z%2F%28Z%2B3%29=+3Z%2F%285Z-1%29 ALIGN=MIDDLE  ALT=\"Z%2F%28Z%2B3%29=+3Z%2F%285Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. I guess you need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z%2B3 ALIGN=MIDDLE  ALT=\"Z%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5Z-1 ALIGN=MIDDLE  ALT=\"5Z-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be denominators; therefore, you need parenthesis ( )<BR>\n" );
document.write( "It also might be that you need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28Z-1%29 ALIGN=MIDDLE  ALT=\"5%28Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > instead of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5Z-1 ALIGN=MIDDLE  ALT=\"5Z-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you need to write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z%2B3 ALIGN=MIDDLE  ALT=\"Z%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5Z-1 ALIGN=MIDDLE  ALT=\"5Z-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we will have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z%2F%28Z%2B3%29=+3Z%2F%285Z-1%29 ALIGN=MIDDLE  ALT=\"Z%2F%28Z%2B3%29=+3Z%2F%285Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z ALIGN=MIDDLE  ALT=\"Z\"   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=1%2F%28Z%2B3%29=+3%2F%285Z-1%29 ALIGN=MIDDLE  ALT=\"1%2F%28Z%2B3%29=+3%2F%285Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%285Z-1%29 ALIGN=MIDDLE  ALT=\"3%2F%285Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the left\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28Z%2B3%29+-+3%2F%285Z-1%29+=+0 ALIGN=MIDDLE  ALT=\"1%2F%28Z%2B3%29+-+3%2F%285Z-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….now Least Common Denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%285Z-1%29+-+3+%28Z%2B3%29%29+%2F%285Z-1%29%28Z%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%281%285Z-1%29+-+3+%28Z%2B3%29%29+%2F%285Z-1%29%28Z%2B3%29+=+0\"   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=%285Z-1+-+3+Z-9%29%29+%2F%285Z-1%29%28Z%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%285Z-1+-+3+Z-9%29%29+%2F%285Z-1%29%28Z%2B3%29+=+0\"   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=%282Z+-10%29+%2F%285Z-1%29%28Z%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%282Z+-10%29+%2F%285Z-1%29%28Z%2B3%29+=+0\"   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=%282%28Z+-+5%29%29+%2F%285Z-1%29%28Z%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%282%28Z+-+5%29%29+%2F%285Z-1%29%28Z%2B3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….\r<BR>\n" );
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document.write( "If you need to write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z%2B3 ALIGN=MIDDLE  ALT=\"Z%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28Z-1%29 ALIGN=MIDDLE  ALT=\"5%28Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we will have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z%2F%28Z%2B3%29=+3Z%2F5%28Z-1%29 ALIGN=MIDDLE  ALT=\"Z%2F%28Z%2B3%29=+3Z%2F5%28Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z ALIGN=MIDDLE  ALT=\"Z\"   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=1%2F%28Z%2B3%29=+3%2F5%28Z-1%29 ALIGN=MIDDLE  ALT=\"1%2F%28Z%2B3%29=+3%2F5%28Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%285Z-1%29 ALIGN=MIDDLE  ALT=\"3%2F%285Z-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the left\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28Z%2B3%29+-+3%2F5%28Z-1%29+=+0 ALIGN=MIDDLE  ALT=\"1%2F%28Z%2B3%29+-+3%2F5%28Z-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….now Least Common Denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%285Z-1%29+-+3+%28Z%2B3%29%29+%2F5%28Z-1%29%28Z%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%281%285Z-1%29+-+3+%28Z%2B3%29%29+%2F5%28Z-1%29%28Z%2B3%29+=+0\"   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=%285Z-1+-+3+Z-9%29%29+%2F5%28Z-1%29%28Z%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%285Z-1+-+3+Z-9%29%29+%2F5%28Z-1%29%28Z%2B3%29+=+0\"   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=%282Z+-10%29+%2F5%28Z-1%29%28Z%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%282Z+-10%29+%2F5%28Z-1%29%28Z%2B3%29+=+0\"   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=%282%28Z+-+5%29%29+%2F5%28Z-1%29%28Z%2B3%29+=+0 ALIGN=MIDDLE  ALT=\"%282%28Z+-+5%29%29+%2F5%28Z-1%29%28Z%2B3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );