document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67981>Question 67981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem: \"The difference of a number and twice its reciprocal is 47/7. Find the number.\"\r<BR>\n" );
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document.write( "My problem is, how can I construct an equation out of the given problem.<BR>\n" );
document.write( "I initially tried x-(2)1/x=47/7, but I've got the wrong results.\r<BR>\n" );
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document.write( "Thank you for helping me with this problem.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48334 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=48334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Problem: \"The difference of a number and twice its reciprocal is 47/7. Find the number.\"\r<BR>\n" );
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document.write( "My problem is, how can I construct an equation out of the given problem.<BR>\n" );
document.write( "I initially tried x-(2)1/x=47/7, but I've got the wrong results.\r<BR>\n" );
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document.write( "I think you're on the right track:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-%282%29%281%2Fx%29=47%2F7 ALIGN=MIDDLE  ALT=\"x-%282%29%281%2Fx%29=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2%2Fx=47%2F7 ALIGN=MIDDLE  ALT=\"x-2%2Fx=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply everything by the LCD, 7x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%28x%29%2B7x%28-2%2Fx%29=7x%2847%2F7%29 ALIGN=MIDDLE  ALT=\"7x%28x%29%2B7x%28-2%2Fx%29=7x%2847%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2-14=47x ALIGN=MIDDLE  ALT=\"7x%5E2-14=47x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2-47x-14=47x-47x ALIGN=MIDDLE  ALT=\"7x%5E2-47x-14=47x-47x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2-47x-14=0 ALIGN=MIDDLE  ALT=\"7x%5E2-47x-14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2-49x%2B2x-14=0 ALIGN=MIDDLE  ALT=\"7x%5E2-49x%2B2x-14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%28x-7%29%2B2%28x-7%29=0 ALIGN=MIDDLE  ALT=\"7x%28x-7%29%2B2%28x-7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B2%29%28x-7%29=0 ALIGN=MIDDLE  ALT=\"%287x%2B2%29%28x-7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Set each parentheses = to 0 and solve for x.<BR>\n" );
document.write( "7x+2=0 or x-7=0<BR>\n" );
document.write( "7x+2-2=0-2 or x-7+7=0+7<BR>\n" );
document.write( "7x=-2 or x=7<BR>\n" );
document.write( "7x/7=-2/7 or x=7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-2%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=7%29 ALIGN=MIDDLE  ALT=\"highlight%28x=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sanity check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F7-2%281%2F%28-2%2F7%29%29=47%2F7 ALIGN=MIDDLE  ALT=\"-2%2F7-2%281%2F%28-2%2F7%29%29=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F7-2%28-7%2F2%29=47%2F7 ALIGN=MIDDLE  ALT=\"-2%2F7-2%28-7%2F2%29=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F7%2B7=47%2F7 ALIGN=MIDDLE  ALT=\"-2%2F7%2B7=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F7%2B49%2F7=47%2F7 ALIGN=MIDDLE  ALT=\"-2%2F7%2B49%2F7=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2B49%29%2F7=47%2F7 ALIGN=MIDDLE  ALT=\"%28-2%2B49%29%2F7=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47%2F7=47%2F7 ALIGN=MIDDLE  ALT=\"47%2F7=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > x=-2/7 works<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-2%281%2F7%29=47%2F7 ALIGN=MIDDLE  ALT=\"7-2%281%2F7%29=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-2%2F7=47%2F7 ALIGN=MIDDLE  ALT=\"7-2%2F7=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2F7-2%2F7=47%2F7 ALIGN=MIDDLE  ALT=\"49%2F7-2%2F7=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2849-2%29%2F7=47%2F7 ALIGN=MIDDLE  ALT=\"%2849-2%29%2F7=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47%2F7=47%2F7 ALIGN=MIDDLE  ALT=\"47%2F7=47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > x=7 also works<BR>\n" );
document.write( "Happy Calculating!!!!\r<BR>\n" );
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