document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927537>Question 927537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One positive number is 6 more than twice another. If their product is 308, find the numbers. \r<BR>\n" );
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document.write( "Small number?<BR>\n" );
document.write( "Large number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563059 by </B><A HREF=/tutors/aboutme.mpl?userid=Techpriest><B>Techpriest(29)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Techpriest><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=563059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to find the small number and large number, we must express it as an algebraic expression.\r<BR>\n" );
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document.write( "One positive number is 6 more than twice another of a number can be expressed as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+%2B+2x+ ALIGN=MIDDLE  ALT=\"+y+=+6+%2B+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If their product is 308:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2Ay+=+308+ ALIGN=MIDDLE  ALT=\"+x%2Ay+=+308+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Through the expression shown above we can substitute y from the first equation to the second equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%286+%2B+2x%29+=+308+ ALIGN=MIDDLE  ALT=\"+x%286+%2B+2x%29+=+308+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+%2B+2x%5E2%29+=+308+ ALIGN=MIDDLE  ALT=\"+6x+%2B+2x%5E2%29+=+308+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distributive Property of Multiplication<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+%2B+6x+=+308+ ALIGN=MIDDLE  ALT=\"+2x%5E2+%2B+6x+=+308+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reorder terms in order.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x%5E2+%2B+6x%29%2F2+=+308%2F2+ ALIGN=MIDDLE  ALT=\"+%282x%5E2+%2B+6x%29%2F2+=+308%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Division Property of Equality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+3x+=+154+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+3x+=+154+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+3x+-+154+=+154+-+154+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+3x+-+154+=+154+-+154+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtraction Property of Equality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B14%29%28x-11%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B14%29%28x-11%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-14%2C+x+=+11+ ALIGN=MIDDLE  ALT=\"+x+=+-14%2C+x+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Zero Property<BR>\n" );
document.write( "So, x = 11 or -14.<BR>\n" );
document.write( "In order to find y, we substitute the x-value in the first equation for ALL solutions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+%2B+2x+ ALIGN=MIDDLE  ALT=\"+y+=+6+%2B+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+%2B+2%2811%29+ ALIGN=MIDDLE  ALT=\"+y+=+6+%2B+2%2811%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+%2B+22+ ALIGN=MIDDLE  ALT=\"+y+=+6+%2B+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+28+ ALIGN=MIDDLE  ALT=\"+y+=+28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "AND<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+%2B+2%28-14%29+ ALIGN=MIDDLE  ALT=\"+y+=+6+%2B+2%28-14%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+-+28+ ALIGN=MIDDLE  ALT=\"+y+=+6+-+28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-22+ ALIGN=MIDDLE  ALT=\"+y+=+-22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, y = 28 or -22.<BR>\n" );
document.write( "So, a solution of {11,28} or {-14,-22} can be plotted on a graph.<BR>\n" );
document.write( "HOWEVER, the problem tells you that y is a positive number.<BR>\n" );
document.write( "Since {11, 28} is positive. The small number assuming that it is x will be 11 and the large number assuming that it is y will be 28. </SPAN>\n" );
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