document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225733>Question 225733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assistance is needed and greatly appreciated.\r<BR>\n" );
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document.write( "5pq^2/ 12r^2s / 20q^5/ 3r^3s4\r<BR>\n" );
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document.write( "so far I got 100pq^7/ 36r^5s^5 (not sure if I am on the right path. \r<BR>\n" );
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document.write( "Also...\r<BR>\n" );
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document.write( "6 + 2/ y -2 = 7/ y + 1 (not sure how to start to solve)\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 #168452 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=168452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume the problem is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285pq%5E2%29%2F%2812r%5E2s%29 ALIGN=MIDDLE  ALT=\"%285pq%5E2%29%2F%2812r%5E2s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820q%5E5%29%2F%283r%5E3s%5E4%29 ALIGN=MIDDLE  ALT=\"%2820q%5E5%29%2F%283r%5E3s%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "invert the dividing fraction & multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285pq%5E2%29%2F%2812r%5E2s%29 ALIGN=MIDDLE  ALT=\"%285pq%5E2%29%2F%2812r%5E2s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283r%5E3s%5E4%29%2F%2820q%5E5%29 ALIGN=MIDDLE  ALT=\"%283r%5E3s%5E4%29%2F%2820q%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can cancel across the \"*\" sign<BR>\n" );
document.write( "cancel q^2 into q^5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285p%29%2F%2812r%5E2s%29 ALIGN=MIDDLE  ALT=\"%285p%29%2F%2812r%5E2s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283r%5E3s%5E4%29%2F%2820q%5E3%29 ALIGN=MIDDLE  ALT=\"%283r%5E3s%5E4%29%2F%2820q%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ": <BR>\n" );
document.write( "Cancel r^2 into r^3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285p%29%2F%2812s%29 ALIGN=MIDDLE  ALT=\"%285p%29%2F%2812s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283rs%5E4%29%2F%2820q%5E3%29 ALIGN=MIDDLE  ALT=\"%283rs%5E4%29%2F%2820q%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cancel s in s^4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285p%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"%285p%29%2F%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283rs%5E3%29%2F%2820q%5E3%29 ALIGN=MIDDLE  ALT=\"%283rs%5E3%29%2F%2820q%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "cancel 3 into 12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285p%29%2F4 ALIGN=MIDDLE  ALT=\"%285p%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28rs%5E3%29%2F%2820q%5E3%29 ALIGN=MIDDLE  ALT=\"%28rs%5E3%29%2F%2820q%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cancel 5 into 20; then multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2F4 ALIGN=MIDDLE  ALT=\"p%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28rs%5E3%29%2F%284q%5E3%29 ALIGN=MIDDLE  ALT=\"%28rs%5E3%29%2F%284q%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28prs%5E3%29%2F%2816q%5E3%29 ALIGN=MIDDLE  ALT=\"%28prs%5E3%29%2F%2816q%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "There is a lot of chances for dumb errors here, check each step and confirm that I did not make a math mistake.<BR>\n" );
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document.write( ";<BR>\n" );
document.write( "Assume this problem is:<BR>\n" );
document.write( "6 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28y-2%29 ALIGN=MIDDLE  ALT=\"2%2F%28y-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28y%2B1%29 ALIGN=MIDDLE  ALT=\"7%2F%28y%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "the first thing we want to do is get rid of those annoying denominators.<BR>\n" );
document.write( "Multiply each term by (y+1)(y-2) to do this:<BR>\n" );
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document.write( "6((y+1)(y-2)) + (y+1)(y-2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28y-2%29 ALIGN=MIDDLE  ALT=\"2%2F%28y-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (y+1)(y-2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28y%2B1%29 ALIGN=MIDDLE  ALT=\"7%2F%28y%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ";<BR>\n" );
document.write( "FOIL, then cancel the denominators<BR>\n" );
document.write( "6(y^2 - y - 2) + 2(y+1) = 7(y-2)<BR>\n" );
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document.write( "Get rid of the brackes<BR>\n" );
document.write( "6y^2 - 6y - 12 + 2y + 2 = 7y - 14<BR>\n" );
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document.write( "Combine like terms on the left<BR>\n" );
document.write( "6y^2 - 6y + 2y - 7y - 12 + 2 + 14 = 0<BR>\n" );
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document.write( "6y^2 - 11y  + 4 = 0; a quadratic equation<BR>\n" );
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document.write( "Fortunately this will factor, otherwise use the quadratic formula<BR>\n" );
document.write( "(3y - 4)(2y - 1) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "3y = 4<BR>\n" );
document.write( "y = 4/3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2y = 1<BR>\n" );
document.write( "y = 1/2<BR>\n" );
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document.write( "Check each solution in original equation </SPAN>\n" );
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