document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183013>Question 183013</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780078738234/algebrahomeworkh>texas algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> two times a number plus 6 is three less than one fifth of the number.What is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137450 by </B><A HREF=/tutors/aboutme.mpl?userid=MathGuyJoe><B>MathGuyJoe(20)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathGuyJoe><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=137450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In this case, we'll call our number 'n'.  To convert the sentence into an equation, just break it up into parts:\r<BR>\n" );
document.write( "\n" );
document.write( "\"Two times a number plus 6\" -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2n+%2B+6+ ALIGN=MIDDLE  ALT=\"+2n+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"is\" -> =<BR>\n" );
document.write( "\"Three less than one-fifth the number\" -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F5%29n+-+3+ ALIGN=MIDDLE  ALT=\"+%281%2F5%29n+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Putting it all together you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2n+%2B+6+=+%281%2F5%29n+-+3+ ALIGN=MIDDLE  ALT=\"+2n+%2B+6+=+%281%2F5%29n+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "To get rid of the fraction, multiply both sides by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%282n+%2B+6%29+=+5%28%281%2F5%29n+-+3%29+ ALIGN=MIDDLE  ALT=\"+5%282n+%2B+6%29+=+5%28%281%2F5%29n+-+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10n+%2B+30+=+1n+-+15+ ALIGN=MIDDLE  ALT=\"+10n+%2B+30+=+1n+-+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "To group the values, subtract 1n from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10n+%2B+30+-+1n+=+1n+-+15+-+1n ALIGN=MIDDLE  ALT=\"+10n+%2B+30+-+1n+=+1n+-+15+-+1n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9n+%2B+30+=+-15+ ALIGN=MIDDLE  ALT=\"+9n+%2B+30+=+-15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Next, subtract 30 from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9n+%2B+30+-+30+=+-15+-+30+ ALIGN=MIDDLE  ALT=\"+9n+%2B+30+-+30+=+-15+-+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9n+=+-45+ ALIGN=MIDDLE  ALT=\"+9n+=+-45+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Lastly, divide both sides by 9:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9n+%2F+9+=+-45+%2F+9+ ALIGN=MIDDLE  ALT=\"+9n+%2F+9+=+-45+%2F+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+-5+ ALIGN=MIDDLE  ALT=\"+n+=+-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "So our number is <b>-5</b>.  To check our answer, let's substitute back into our orignal equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2n+%2B+6+=+%281%2F5%29n+-+3 ALIGN=MIDDLE  ALT=\"+2n+%2B+6+=+%281%2F5%29n+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28-5%29+%2B+6+=+%281%2F5%29%28-5%29+-+3 ALIGN=MIDDLE  ALT=\"+2%28-5%29+%2B+6+=+%281%2F5%29%28-5%29+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-10+%2B+6+=+-1+-+3+ ALIGN=MIDDLE  ALT=\"+-10+%2B+6+=+-1+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+=+-4+ ALIGN=MIDDLE  ALT=\"+-4+=+-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > So it checks out.<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Hope this helps.  ~ Joe </SPAN>\n" );
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