document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130249>Question 1130249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation and check the solution. (Enter your answers as a comma-separated list. Simplify your answers completely. If there is no solution, enter NO SOLUTION.) Solve for y.\r<BR>\n" );
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document.write( "y + 2/3 = (2y-12)/(3y-9)\r<BR>\n" );
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document.write( "Identify any extraneous values. (Enter your answers as a comma-separated list. Simplify your answers completely. If there are no extraneous values, enter NO SOLUTION.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746920 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=746920\">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=y+%2B+2%2F3+=+%282y-12%29%2F%283y-9%29 ALIGN=MIDDLE  ALT=\"y+%2B+2%2F3+=+%282y-12%29%2F%283y-9%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=%283y+%2B+2%29%2F3+=+%282y-12%29%2F%283y-9%29 ALIGN=MIDDLE  ALT=\"%283y+%2B+2%29%2F3+=+%282y-12%29%2F%283y-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >............cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y+%2B+2%29%283y-9%29+=+3%282y-12%29 ALIGN=MIDDLE  ALT=\"%283y+%2B+2%29%283y-9%29+=+3%282y-12%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=9y%5E2-27y%2B6y-18+=+6y-36 ALIGN=MIDDLE  ALT=\"9y%5E2-27y%2B6y-18+=+6y-36\"   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=9y%5E2-27y%2B6y-18+-+6y%2B36=0 ALIGN=MIDDLE  ALT=\"9y%5E2-27y%2B6y-18+-+6y%2B36=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=9y%5E2-27y%2Bcross%286y%29-18+-cross%28+6y%29%2B36=0 ALIGN=MIDDLE  ALT=\"9y%5E2-27y%2Bcross%286y%29-18+-cross%28+6y%29%2B36=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=9y%5E2-27y%2B18=0 ALIGN=MIDDLE  ALT=\"9y%5E2-27y%2B18=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......simplify, both sides divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   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=y%5E2-3y%2B2=0 ALIGN=MIDDLE  ALT=\"y%5E2-3y%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............factor completely\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-y-2y%2B2=0 ALIGN=MIDDLE  ALT=\"y%5E2-y-2y%2B2=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=%28y%5E2-y%29-%282y-2%29=0 ALIGN=MIDDLE  ALT=\"%28y%5E2-y%29-%282y-2%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=y%28y-1%29-2%28y-1%29=0 ALIGN=MIDDLE  ALT=\"y%28y-1%29-2%28y-1%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=%28y+-+2%29+%28y+-+1%29+=+0 ALIGN=MIDDLE  ALT=\"%28y+-+2%29+%28y+-+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+2%29++=+0 ALIGN=MIDDLE  ALT=\"%28y+-+2%29++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y+-+1%29+=+0 ALIGN=MIDDLE  ALT=\"+%28y+-+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > -><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " check the solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+2%2F3+=+%282y-12%29%2F%283y-9%29 ALIGN=MIDDLE  ALT=\"y+%2B+2%2F3+=+%282y-12%29%2F%283y-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   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=2+%2B+2%2F3+=+%282%2A2-12%29%2F%283%2A2-9%29 ALIGN=MIDDLE  ALT=\"2+%2B+2%2F3+=+%282%2A2-12%29%2F%283%2A2-9%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=6%2F3+%2B+2%2F3+=+%284-12%29%2F%286-9%29 ALIGN=MIDDLE  ALT=\"6%2F3+%2B+2%2F3+=+%284-12%29%2F%286-9%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=8%2F3+=+-8%2F-3 ALIGN=MIDDLE  ALT=\"8%2F3+=+-8%2F-3\"   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=8%2F3+=+8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3+=+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> true; so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+2%2F3+=+%282y-12%29%2F%283y-9%29 ALIGN=MIDDLE  ALT=\"y+%2B+2%2F3+=+%282y-12%29%2F%283y-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   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+%2B+2%2F3+=+%282%2A1-12%29%2F%283%2A1-9%29 ALIGN=MIDDLE  ALT=\"1+%2B+2%2F3+=+%282%2A1-12%29%2F%283%2A1-9%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=3%2F3+%2B+2%2F3+=+%282-12%29%2F%283-9%29 ALIGN=MIDDLE  ALT=\"3%2F3+%2B+2%2F3+=+%282-12%29%2F%283-9%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=5%2F3+=+-10%2F-6 ALIGN=MIDDLE  ALT=\"5%2F3+=+-10%2F-6\"   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=5%2F3+=+-5%2F-3 ALIGN=MIDDLE  ALT=\"5%2F3+=+-5%2F-3\"   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=5%2F3+=+5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3+=+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> true; so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution\r<BR>\n" );
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document.write( "there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=no ALIGN=MIDDLE  ALT=\"no\"   DISABLED_style= \"max-width:90%; height:auto;\" > extraneous values\r<BR>\n" );
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document.write( "your answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   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=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x+%2B+2%2F3+%2C+%282x-12%29%2F%283x-9%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );