document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183372>Question 183372</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780136028956/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> add or subtract as indicated.  Simplify if possible:\r<BR>\n" );
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document.write( "3y/4y-20+9y/6y-30\r<BR>\n" );
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document.write( "Please help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137678 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=137678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2F%284y-20%29%2B9y%2F%286y-30%29 ALIGN=MIDDLE  ALT=\"3y%2F%284y-20%29%2B9y%2F%286y-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2F%284%28y-5%29%29%2B9y%2F%286y-30%29 ALIGN=MIDDLE  ALT=\"3y%2F%284%28y-5%29%29%2B9y%2F%286y-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-20 ALIGN=MIDDLE  ALT=\"4y-20\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-5%29 ALIGN=MIDDLE  ALT=\"4%28y-5%29\"   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=3y%2F%284%28y-5%29%29%2B9y%2F%286%28y-5%29%29 ALIGN=MIDDLE  ALT=\"3y%2F%284%28y-5%29%29%2B9y%2F%286%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y-30 ALIGN=MIDDLE  ALT=\"6y-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28y-5%29 ALIGN=MIDDLE  ALT=\"6%28y-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how the LCM (or LCD) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%28y-5%29 ALIGN=MIDDLE  ALT=\"24%28y-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: most often, you can find the LCD by multiplying the denominators and removing any repeated terms)\r<BR>\n" );
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document.write( "So the goal is to get EVERY denominator equal to the LCD\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2A3y%29%2F%286%2A4%28y-5%29%29%2B9y%2F%286%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%286%2A3y%29%2F%286%2A4%28y-5%29%29%2B9y%2F%286%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F6 ALIGN=MIDDLE  ALT=\"6%2F6\"   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=%2818y%29%2F%2824%28y-5%29%29%2B9y%2F%286%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%2818y%29%2F%2824%28y-5%29%29%2B9y%2F%286%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818y%29%2F%2824%28y-5%29%29%2B%284%2A9y%29%2F%284%2A6%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%2818y%29%2F%2824%28y-5%29%29%2B%284%2A9y%29%2F%284%2A6%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F4 ALIGN=MIDDLE  ALT=\"4%2F4\"   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=%2818y%29%2F%2824%28y-5%29%29%2B%2836y%29%2F%2824%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%2818y%29%2F%2824%28y-5%29%29%2B%2836y%29%2F%2824%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "Now that the denominators are equal, we can combine them:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818y%2B36y%29%2F%2824%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%2818y%2B36y%29%2F%2824%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2854y%29%2F%2824%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%2854y%29%2F%2824%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289y%29%2F%284%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%289y%29%2F%284%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F24 ALIGN=MIDDLE  ALT=\"54%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4 ALIGN=MIDDLE  ALT=\"9%2F4\"   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=%289y%29%2F%284y-20%29 ALIGN=MIDDLE  ALT=\"%289y%29%2F%284y-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2F%284y-20%29%2B9y%2F%286y-30%29 ALIGN=MIDDLE  ALT=\"3y%2F%284y-20%29%2B9y%2F%286y-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289y%29%2F%284y-20%29 ALIGN=MIDDLE  ALT=\"%289y%29%2F%284y-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2F%284y-20%29%2B9y%2F%286y-30%29=%289y%29%2F%284y-20%29 ALIGN=MIDDLE  ALT=\"3y%2F%284y-20%29%2B9y%2F%286y-30%29=%289y%29%2F%284y-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E5 ALIGN=MIDDLE  ALT=\"y%3C%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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