document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151530>Question 151530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A).<BR>\n" );
document.write( "Show the steps that you would take to solve the following algebraically: <BR>\n" );
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document.write( "3/x-3 = x/x-3 minus 3/2\r<BR>\n" );
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document.write( "B.) What potential solution did you obtain. Explain why this is not a solution.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111386 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=111386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%2F%28x-3%29=%28x%29%2F%28x-3%29-%283%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%283%29%2F%28x-3%29=%28x%29%2F%28x-3%29-%283%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cross%28%28x-3%29%29%28%283%29%2Fcross%28%28x-3%29%29%29=2cross%28%28x-3%29%29%28%28x%29%2Fcross%28x-3%29%29-cross%282%29%28x-3%29%28%283%29%2Fcross%282%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <font size=\"4\"><b>every</b></font> term on both sides by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-3%29 ALIGN=MIDDLE  ALT=\"2%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Doing this will eliminate all of the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283%29=2%28x%29-%28x-3%29%283%29 ALIGN=MIDDLE  ALT=\"2%283%29=2%28x%29-%28x-3%29%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283%29=2%28x%29-3%28x-3%29 ALIGN=MIDDLE  ALT=\"2%283%29=2%28x%29-3%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283%29=2%28x%29-3x%2B9 ALIGN=MIDDLE  ALT=\"2%283%29=2%28x%29-3x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=2x-3x-9 ALIGN=MIDDLE  ALT=\"6=2x-3x-9\"   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=6-9=2x-3x ALIGN=MIDDLE  ALT=\"6-9=2x-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 9 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3=-x ALIGN=MIDDLE  ALT=\"-3=-x\"   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=3=x ALIGN=MIDDLE  ALT=\"3=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -1 to isolate x.\r<BR>\n" );
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document.write( "So the possible solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B)\r<BR>\n" );
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document.write( "Let's see why this possible solution is not a real solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%2F%28x-3%29=%28x%29%2F%28x-3%29-%283%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%283%29%2F%28x-3%29=%28x%29%2F%28x-3%29-%283%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%2F%283-3%29=%283%29%2F%283-3%29-%283%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%283%29%2F%283-3%29=%283%29%2F%283-3%29-%283%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=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=%283%29%2F%280%29=%283%29%2F%280%29-%283%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%283%29%2F%280%29=%283%29%2F%280%29-%283%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "Since division by zero is <font size=4><b>not</b></font> possible, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=4><b>not</b></font> a real solution.\r<BR>\n" );
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document.write( "So this means that there are no real solutions.\r<BR>\n" );
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