document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031153>Question 1031153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following equation has denominators that contain variables. for this equation write the value or values of the variable that make a denominator zero. these are the restrictions on the variable. keeping the restrictions in mind, solve the equation.<BR>\n" );
document.write( "2/11x + 1/4 = 81/22x - 1/3 \r<BR>\n" );
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document.write( "My work for solving the equation is (2/11)x + 1/4 = (81/22)x - 1/3 <BR>\n" );
document.write( "24 x + 33 = 486 x - 44 <BR>\n" );
document.write( "77 = 462 x <BR>\n" );
document.write( "x = 77/462 <BR>\n" );
document.write( "x = 7/42 <BR>\n" );
document.write( "x = 1/6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645882 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=645882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You very neatly indicated some groupings showing that the denominators contain no variables, so NO RESTRICTION on x is necessary.  Did you really have something else?\r<BR>\n" );
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document.write( "You began with  2/11x + 1/4 = 81/22x - 1/3  and then you gave clarification of  (2/11)x + 1/4 = (81/22)x - 1/3<BR>\n" );
document.write( "and as rendered will look like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F11%29x%2B1%2F4=%2881%2F22%29x-1%2F3 ALIGN=MIDDLE  ALT=\"%282%2F11%29x%2B1%2F4=%2881%2F22%29x-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Lowest common denominator is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A4%2A11 ALIGN=MIDDLE  ALT=\"3%2A4%2A11\"   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%2A4%2A11%29%28%282%2F11%29x%2B1%2F4%29=%283%2A4%2A11%29%28%2881%2F22%29x-1%2F3%29 ALIGN=MIDDLE  ALT=\"%283%2A4%2A11%29%28%282%2F11%29x%2B1%2F4%29=%283%2A4%2A11%29%28%2881%2F22%29x-1%2F3%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=6x%2B33=6%2A81x-44 ALIGN=MIDDLE  ALT=\"6x%2B33=6%2A81x-44\"   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%2A81x-6x=33%2B44 ALIGN=MIDDLE  ALT=\"6%2A81x-6x=33%2B44\"   DISABLED_style= \"max-width:90%; height:auto;\" >, as combined steps,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2881-1%29x=77 ALIGN=MIDDLE  ALT=\"6%2881-1%29x=77\"   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%2A80x=77 ALIGN=MIDDLE  ALT=\"6%2A80x=77\"   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=480x=77 ALIGN=MIDDLE  ALT=\"480x=77\"   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=x=77%2F480 ALIGN=MIDDLE  ALT=\"x=77%2F480\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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