document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647873>Question 647873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with the following Algebra equation.  Thank you very much.\r<BR>\n" );
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document.write( "8/r-12 = 12/r+10  \r<BR>\n" );
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document.write( "(They are fractions, 8 over r-12)  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406443 by </B><A HREF=/tutors/aboutme.mpl?userid=Algebraic><B>Algebraic(50)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Algebraic><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=Algebraic><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=406443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here are your original equations: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F%28r-12%29%29 ALIGN=MIDDLE  ALT=\"%288%2F%28r-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F%28r%2B10%29%29 ALIGN=MIDDLE  ALT=\"%2812%2F%28r%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "These types of equations can be solved when you have the same LCD under both equations.\r<BR>\n" );
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document.write( "To find the LCD (least common denominator) of both of these equations, multiply both denominators together and that's the LCD.\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-12%29%28r%2B10%29 ALIGN=MIDDLE  ALT=\"%28r-12%29%28r%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the LCD.\r<BR>\n" );
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document.write( "Multiply the LCD to the numerator of each equation so that you can get rid of the denominator. Our goal is to get rid of the denominators.\r<BR>\n" );
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document.write( "Step 1: Get rid of the denominators by multiplying the numerator of each fraction by the LCD.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r-12%29%28r%2B10%29%29%2F%281%29 ALIGN=MIDDLE  ALT=\"%28%28r-12%29%28r%2B10%29%29%2F%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F%28r-12%29%29 ALIGN=MIDDLE  ALT=\"%288%2F%28r-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r-12%29%28r%2B10%29%29%2F%281%29 ALIGN=MIDDLE  ALT=\"%28%28r-12%29%28r%2B10%29%29%2F%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F%28r%2B10%29%29 ALIGN=MIDDLE  ALT=\"%2812%2F%28r%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2: Cancel out what you can from the numerator and denominator of the left side fraction\r<BR>\n" );
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document.write( "You see that on the left side of the equation, you can cancel out the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-12%29 ALIGN=MIDDLE  ALT=\"%28r-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > denominator with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-12%29 ALIGN=MIDDLE  ALT=\"%28r-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > numerator, leaving you with just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28r%2B10%29 ALIGN=MIDDLE  ALT=\"8%28r%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the top of the fraction.\r<BR>\n" );
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document.write( "You are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28r%2B10%29 ALIGN=MIDDLE  ALT=\"8%28r%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the top because you are multiplying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2B10%29 ALIGN=MIDDLE  ALT=\"%28r%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3: Cancel out what you can from the numerator and denominator of the right side fraction\r<BR>\n" );
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document.write( "You see that on the right side of the equation, you can cancel out the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2B10%29 ALIGN=MIDDLE  ALT=\"%28r%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > denominator with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2B10%29 ALIGN=MIDDLE  ALT=\"%28r%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > numerator, leaving you with just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28r-12%29 ALIGN=MIDDLE  ALT=\"12%28r-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the top of the fraction.\r<BR>\n" );
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document.write( "You are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28r-12%29 ALIGN=MIDDLE  ALT=\"12%28r-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the top because you are multiplying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-12%29 ALIGN=MIDDLE  ALT=\"%28r-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here's what the equation looks like now:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28r%2B10%29 ALIGN=MIDDLE  ALT=\"8%28r%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28r-12%29 ALIGN=MIDDLE  ALT=\"12%28r-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4: Distribute to the parenthesis\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8r%2B80 ALIGN=MIDDLE  ALT=\"8r%2B80\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12r-144 ALIGN=MIDDLE  ALT=\"12r-144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5: Combine like terms.. we are going to add '144' to both sides so we don't have to deal with negatives\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8r%2B80 ALIGN=MIDDLE  ALT=\"8r%2B80\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12r-144 ALIGN=MIDDLE  ALT=\"12r-144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8r%2B224 ALIGN=MIDDLE  ALT=\"8r%2B224\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12r ALIGN=MIDDLE  ALT=\"12r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6: Combine like terms.. we are going to subtract '8r' to both sides so we don't have to deal with negatives\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=224 ALIGN=MIDDLE  ALT=\"224\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r ALIGN=MIDDLE  ALT=\"4r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7: Divide '224' by '4' to get the 'r' by itself\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=224 ALIGN=MIDDLE  ALT=\"224\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r ALIGN=MIDDLE  ALT=\"4r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56 ALIGN=MIDDLE  ALT=\"56\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56 ALIGN=MIDDLE  ALT=\"56\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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