document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202020>Question 202020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! Could you give e chanse to have the solution of this problem?<BR>\n" );
document.write( "The different of two naural number is 9 and he different of their reciprocal is 9/190. Find the numbers.<BR>\n" );
document.write( "This was my way which doesn't go on:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9=y ALIGN=MIDDLE  ALT=\"x%2B9=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9%2F190=1%2Fy ALIGN=MIDDLE  ALT=\"x%2B9%2F190=1%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9%2F190=1%2F%28x%2B9%29 ALIGN=MIDDLE  ALT=\"x%2B9%2F190=1%2F%28x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28190x%2B9%29%28x%2B9%29=190 ALIGN=MIDDLE  ALT=\"%28190x%2B9%29%28x%2B9%29=190\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=190x%5E2%2B1719x-109=0 ALIGN=MIDDLE  ALT=\"190x%5E2%2B1719x-109=0\"   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+=+%28-1719%2B-+sqrt%28+1719%5E2+%2B4%2A190%2A%28-109%29+%29%29%2F%282%2A190%29 ALIGN=MIDDLE  ALT=\"x+=+%28-1719%2B-+sqrt%28+1719%5E2+%2B4%2A190%2A%28-109%29+%29%29%2F%282%2A190%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1719%2B-+sqrt%28+3037801+%29+%29%2F%282%2A190%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-1719%2B-+sqrt%28+3037801+%29+%29%2F%282%2A190%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since sqrt( 3037801 ) is not an integer number (it is a so called irrational number, not reducible to fractions like m/n), further reduction of this expression will not give you an integer result.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152278 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=152278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The difference of two natural numbers is 9\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=9 ALIGN=MIDDLE  ALT=\"x-y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\"the difference of their reciprocals is 9/190\" means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy-1%2Fx=9%2F190 ALIGN=MIDDLE  ALT=\"1%2Fy-1%2Fx=9%2F190\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Ey ALIGN=MIDDLE  ALT=\"x%3Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%3C1%2Fy ALIGN=MIDDLE  ALT=\"1%2Fx%3C1%2Fy\"   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-y=9 ALIGN=MIDDLE  ALT=\"x-y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9%2By ALIGN=MIDDLE  ALT=\"x=9%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add \"y\" to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy-1%2Fx=9%2F190 ALIGN=MIDDLE  ALT=\"1%2Fy-1%2Fx=9%2F190\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto 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%2Fy-1%2F%289%2By%29=9%2F190 ALIGN=MIDDLE  ALT=\"1%2Fy-1%2F%289%2By%29=9%2F190\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9%2By ALIGN=MIDDLE  ALT=\"x=9%2By\"   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=190%2Across%28y%29%289%2By%29%281%2Fcross%28y%29%29-190y%2Across%28%289%2By%29%29%281%2Fcross%28%289%2By%29%29%29=cross%28190%29y%289%2By%29%289%2Fcross%2819%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=190y%289%2By%29 ALIGN=MIDDLE  ALT=\"190y%289%2By%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=190%289%2By%29-190y=9y%289%2By%29 ALIGN=MIDDLE  ALT=\"190%289%2By%29-190y=9y%289%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1710%2B190y-190y=81y%2B9y%5E2 ALIGN=MIDDLE  ALT=\"1710%2B190y-190y=81y%2B9y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1710%2B190y-190y-81y-9y%5E2=0 ALIGN=MIDDLE  ALT=\"1710%2B190y-190y-81y-9y%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Get all terms to the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9y%5E2-81y%2B1710=0 ALIGN=MIDDLE  ALT=\"-9y%5E2-81y%2B1710=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Notice that the quadratic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9y%5E2-81y%2B1710 ALIGN=MIDDLE  ALT=\"-9y%5E2-81y%2B1710\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ay%5E2%2BBy%2BC ALIGN=MIDDLE  ALT=\"Ay%5E2%2BBy%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=-9 ALIGN=MIDDLE  ALT=\"A=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=-81 ALIGN=MIDDLE  ALT=\"B=-81\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=1710 ALIGN=MIDDLE  ALT=\"C=1710\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's use the quadratic formula to solve for \"y\":\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 ALIGN=MIDDLE  ALT=\"y+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-%28-81%29+%2B-+sqrt%28+%28-81%29%5E2-4%28-9%29%281710%29+%29%29%2F%282%28-9%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28-%28-81%29+%2B-+sqrt%28+%28-81%29%5E2-4%28-9%29%281710%29+%29%29%2F%282%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=-9 ALIGN=MIDDLE  ALT=\"A=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=-81 ALIGN=MIDDLE  ALT=\"B=-81\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=1710 ALIGN=MIDDLE  ALT=\"C=1710\"   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=y+=+%2881+%2B-+sqrt%28+%28-81%29%5E2-4%28-9%29%281710%29+%29%29%2F%282%28-9%29%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+%2B-+sqrt%28+%28-81%29%5E2-4%28-9%29%281710%29+%29%29%2F%282%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Negate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-81 ALIGN=MIDDLE  ALT=\"-81\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81 ALIGN=MIDDLE  ALT=\"81\"   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=y+=+%2881+%2B-+sqrt%28+6561-4%28-9%29%281710%29+%29%29%2F%282%28-9%29%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+%2B-+sqrt%28+6561-4%28-9%29%281710%29+%29%29%2F%282%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-81 ALIGN=MIDDLE  ALT=\"-81\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6561 ALIGN=MIDDLE  ALT=\"6561\"   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=y+=+%2881+%2B-+sqrt%28+6561--61560+%29%29%2F%282%28-9%29%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+%2B-+sqrt%28+6561--61560+%29%29%2F%282%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28-9%29%281710%29 ALIGN=MIDDLE  ALT=\"4%28-9%29%281710%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-61560 ALIGN=MIDDLE  ALT=\"-61560\"   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=y+=+%2881+%2B-+sqrt%28+6561%2B61560+%29%29%2F%282%28-9%29%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+%2B-+sqrt%28+6561%2B61560+%29%29%2F%282%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286561--61560%29 ALIGN=MIDDLE  ALT=\"sqrt%286561--61560%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286561%2B61560%29 ALIGN=MIDDLE  ALT=\"sqrt%286561%2B61560%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=y+=+%2881+%2B-+sqrt%28+68121+%29%29%2F%282%28-9%29%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+%2B-+sqrt%28+68121+%29%29%2F%282%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6561 ALIGN=MIDDLE  ALT=\"6561\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61560 ALIGN=MIDDLE  ALT=\"61560\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68121 ALIGN=MIDDLE  ALT=\"68121\"   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=y+=+%2881+%2B-+sqrt%28+68121+%29%29%2F%28-18%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+%2B-+sqrt%28+68121+%29%29%2F%28-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9 ALIGN=MIDDLE  ALT=\"-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18 ALIGN=MIDDLE  ALT=\"-18\"   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=y+=+%2881+%2B-+261%29%2F%28-18%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+%2B-+261%29%2F%28-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68121 ALIGN=MIDDLE  ALT=\"68121\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=261 ALIGN=MIDDLE  ALT=\"261\"   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=y+=+%2881+%2B+261%29%2F%28-18%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+%2B+261%29%2F%28-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2881+-+261%29%2F%28-18%29 ALIGN=MIDDLE  ALT=\"y+=+%2881+-+261%29%2F%28-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the expression. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28342%29%2F%28-18%29 ALIGN=MIDDLE  ALT=\"y+=+%28342%29%2F%28-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=++%28-180%29%2F%28-18%29 ALIGN=MIDDLE  ALT=\"y+=++%28-180%29%2F%28-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-19 ALIGN=MIDDLE  ALT=\"y+=+-19\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+10 ALIGN=MIDDLE  ALT=\"y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "So the <i>possible</i> solutions for \"y\" are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-19 ALIGN=MIDDLE  ALT=\"y+=+-19\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+10 ALIGN=MIDDLE  ALT=\"y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "However, the problem stated that the numbers are natural. So we have to throw out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-19 ALIGN=MIDDLE  ALT=\"y+=+-19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the only answer for \"y\" is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10 ALIGN=MIDDLE  ALT=\"y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This means that \"x\" is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9%2By=9%2B10=19 ALIGN=MIDDLE  ALT=\"x=9%2By=9%2B10=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=19 ALIGN=MIDDLE  ALT=\"x=19\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10 ALIGN=MIDDLE  ALT=\"y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the two numbers are 19 and 10\r<BR>\n" );
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document.write( "Take note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19-10=9 ALIGN=MIDDLE  ALT=\"19-10=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F10-1%2F19=19%2F190-10%2F190=%2819-10%29%2F190=9%2F190 ALIGN=MIDDLE  ALT=\"1%2F10-1%2F19=19%2F190-10%2F190=%2819-10%29%2F190=9%2F190\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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