document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140018>Question 140018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.  One number exceeds another by 5. The sum of their reciprocals equal to 19 <BR>\n" );
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document.write( "(a)	How will you set up the problem?<BR>\n" );
document.write( "(b)	What is the equation that the one number exceeds another by 5?<BR>\n" );
document.write( "(c)	What is the product of two numbers, in terms of x?<BR>\n" );
document.write( "(d)	What is x? Also check your answer.\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 #102047 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=102047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) \r<BR>\n" );
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document.write( "Let x=first number and y=second number\r<BR>\n" );
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document.write( "b) \r<BR>\n" );
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document.write( "Since \"One number exceeds another by 5\", this means that the first equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B5 ALIGN=MIDDLE  ALT=\"y=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c) \r<BR>\n" );
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document.write( "The product of the two numbers in terms of x is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B5%29=x%5E2%2B5x ALIGN=MIDDLE  ALT=\"x%28x%2B5%29=x%5E2%2B5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "d) \r<BR>\n" );
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document.write( "The value of x is 7\r<BR>\n" );
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document.write( "So let's solve the problem\r<BR>\n" );
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document.write( "Let x=first number and y=second number\r<BR>\n" );
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document.write( "Since \"One number exceeds another by 5\", this means that the first equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B5 ALIGN=MIDDLE  ALT=\"y=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, because \"The sum of their reciprocals equal to 19 divided by the product of the two numbers\" we have the second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2Fy=19%2F%28x%2Ay%29 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2Fy=19%2F%28x%2Ay%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=1%2Fx%2B1%2F%28x%2B5%29=19%2F%28x%2A%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2F%28x%2B5%29=19%2F%28x%2A%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B5 ALIGN=MIDDLE  ALT=\"y=x%2B5\"   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=%28x%2A%28x%2B5%29%29%281%2Fx%2B1%2F%28x%2B5%29%29=%28x%2A%28x%2B5%29%29%2819%2F%28x%2A%28x%2B5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28x%2B5%29 ALIGN=MIDDLE  ALT=\"x%2A%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear out the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5%2Bx=19 ALIGN=MIDDLE  ALT=\"x%2B5%2Bx=19\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5=19 ALIGN=MIDDLE  ALT=\"2x%2B5=19\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=19-5 ALIGN=MIDDLE  ALT=\"2x=19-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 5 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=14 ALIGN=MIDDLE  ALT=\"2x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2814%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%2814%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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