document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161160>Question 161160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.one number is 11 more than another number. find the two numbers if three times the larger number exceeds four times the smaller number by 4.\r<BR>\n" );
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document.write( "2.if the first of two consecutive integers is multiplied by 3, this product is 20 more than the sum of the two integers. find the integers.\r<BR>\n" );
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document.write( "3.five times the first of three consecutive even integers is 4 less than twice the sum of the second and third. find the integers.\r<BR>\n" );
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document.write( "4.the sum of three numbers is 49. the second number is three times the first number and the third number is 6 less than the first number. find the three numbers.\r<BR>\n" );
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document.write( "5.the numerator  of a fraction is 2 more than the numerator. if the numerator is decreased by one and the denominator is increased by 2, the value of the original fraction and the new one is 7/3. find the original fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118720 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<BR>\n" );
document.write( "one number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 11 more than another number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"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=y%2B11 ALIGN=MIDDLE  ALT=\"x=y%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………..(1)<BR>\n" );
document.write( "find the two numbers,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  if three times the larger number( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >) exceeds four times the smaller number (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   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=3x+=+4y+%2B4 ALIGN=MIDDLE  ALT=\"3x+=+4y+%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………..(2)\r<BR>\n" );
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document.write( "Now solve the system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B11 ALIGN=MIDDLE  ALT=\"x=y%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………..(1)….plug <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >} value in (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+4y+%2B4 ALIGN=MIDDLE  ALT=\"3x+=+4y+%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………..(2)<BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%28y%2B11%29+=+4y+%2B4 ALIGN=MIDDLE  ALT=\"3+%28y%2B11%29+=+4y+%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………..(2)…find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2B33+=+4y+%2B4 ALIGN=MIDDLE  ALT=\"3y%2B33+=+4y+%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33+-+4+=+4y+-3y ALIGN=MIDDLE  ALT=\"33+-+4+=+4y+-3y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29+=+y+ ALIGN=MIDDLE  ALT=\"29+=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+29+ ALIGN=MIDDLE  ALT=\"y+=+29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >………………… plug <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > value in (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >) to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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%2B11 ALIGN=MIDDLE  ALT=\"x+=+y%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………..(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+29%2B11 ALIGN=MIDDLE  ALT=\"x+=+29%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=++40 ALIGN=MIDDLE  ALT=\"x+=++40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. If the first of two consecutive integers is multiplied by 3, this product is 20 more than the sum of the two integers. Find the integers. \r<BR>\n" );
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document.write( "remember:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > are three consecutive integers<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. first of two consecutive integers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. second of two consecutive integers\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+x+%2B+%28x%2B1%29+%2B+20 ALIGN=MIDDLE  ALT=\"3x+=+x+%2B+%28x%2B1%29+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+2x%2B1+%2B+20 ALIGN=MIDDLE  ALT=\"3x+=+2x%2B1+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+2x=+21+ ALIGN=MIDDLE  ALT=\"3x+-+2x=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+21+ ALIGN=MIDDLE  ALT=\"x+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. first of two consecutive integers\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=22 ALIGN=MIDDLE  ALT=\"x%2B1=22\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. second of two consecutive integers\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+x+%2B+%28x%2B1%29+%2B+20 ALIGN=MIDDLE  ALT=\"3x+=+x+%2B+%28x%2B1%29+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A21+=+21+%2B+%2821%2B1%29+%2B+20 ALIGN=MIDDLE  ALT=\"3%2A21+=+21+%2B+%2821%2B1%29+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63+=+21+%2B+22+%2B+20 ALIGN=MIDDLE  ALT=\"63+=+21+%2B+22+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63+=+63 ALIGN=MIDDLE  ALT=\"63+=+63\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….\r<BR>\n" );
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document.write( "3. Five times the first of three consecutive even integers is 4 less than twice the sum of the second and third. Find the integers. <BR>\n" );
document.write( "remember:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > are three consecutive even integers\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. first of three consecutive integers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. second of three consecutive integers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4 ALIGN=MIDDLE  ALT=\"x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….third of three consecutive integers\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+4+=+2%28+%28x%2B2%29+%2B+%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"5x+%2B+4+=+2%28+%28x%2B2%29+%2B+%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+4+=+2%28+2x%2B6%29 ALIGN=MIDDLE  ALT=\"5x+%2B+4+=+2%28+2x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+4+=+4x%2B12 ALIGN=MIDDLE  ALT=\"5x+%2B+4+=+4x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+-4x+=+12-4 ALIGN=MIDDLE  ALT=\"5x+-4x+=+12-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+8 ALIGN=MIDDLE  ALT=\"x+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. first of three consecutive integers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2=8+%2B2=10 ALIGN=MIDDLE  ALT=\"x%2B2=8+%2B2=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. second of three consecutive integers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4=8%2B4=12 ALIGN=MIDDLE  ALT=\"x%2B4=8%2B4=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….third of three consecutive integers\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+4+=+2%28+%28x%2B2%29+%2B+%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"5x+%2B+4+=+2%28+%28x%2B2%29+%2B+%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A8+%2B+4+=+2%28+%288%2B2%29+%2B+%288%2B4%29%29 ALIGN=MIDDLE  ALT=\"5%2A8+%2B+4+=+2%28+%288%2B2%29+%2B+%288%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40+%2B+4+=+2%28+10+%2B+12%29 ALIGN=MIDDLE  ALT=\"40+%2B+4+=+2%28+10+%2B+12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44+=+2%28+22%29 ALIGN=MIDDLE  ALT=\"44+=+2%28+22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44+=+44 ALIGN=MIDDLE  ALT=\"44+=+44\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….\r<BR>\n" );
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document.write( "4. The sum of three numbers is 49. The second number is three times the first number and the third number is 6 less than the first number. Find the three numbers. \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. first of three numbers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. second of three numbers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" >……. third of three numbers\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=49 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x ALIGN=MIDDLE  ALT=\"y=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=x-6 ALIGN=MIDDLE  ALT=\"z=x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3x+%2B+%28x-6%29=49 ALIGN=MIDDLE  ALT=\"x%2B3x+%2B+%28x-6%29=49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+-6=49 ALIGN=MIDDLE  ALT=\"5x+-6=49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+=49%2B6 ALIGN=MIDDLE  ALT=\"5x+=49%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+=55 ALIGN=MIDDLE  ALT=\"5x+=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=55%2F5 ALIGN=MIDDLE  ALT=\"x+=55%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=11 ALIGN=MIDDLE  ALT=\"x+=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x=33 ALIGN=MIDDLE  ALT=\"y=3x=33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=x-6=5 ALIGN=MIDDLE  ALT=\"z=x-6=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=49 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2B33%2B5=49 ALIGN=MIDDLE  ALT=\"11%2B33%2B5=49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49=49 ALIGN=MIDDLE  ALT=\"49=49\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5. The numerator of a fraction is 2 more than the denominator. If the numerator is decreased by one and the denominator is increased by 2, the value of the original fraction and the new one is 7/3. Find the original fraction.\r<BR>\n" );
document.write( "\n" );
document.write( "let a fraction be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "if the numerator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a fraction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2B2 ALIGN=MIDDLE  ALT=\"b%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b%2B2 ALIGN=MIDDLE  ALT=\"a=b%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "If the numerator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > is decreased by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > is increased by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the value of the original fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the new one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a-1%29%2F%28b+%2B2%29+=+7%2F3 ALIGN=MIDDLE  ALT=\"+%28a-1%29%2F%28b+%2B2%29+=+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >………plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b%2B2 ALIGN=MIDDLE  ALT=\"a=b%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28b%2B2%29-1%29%2F%28b+%2B2%29%29+=+7%2F3 ALIGN=MIDDLE  ALT=\"+%28%28b%2B2%29-1%29%2F%28b+%2B2%29%29+=+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >………\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28b%2B1%29%2F%28b+%2B2%29+=+7%2F3 ALIGN=MIDDLE  ALT=\"+%28b%2B1%29%2F%28b+%2B2%29+=+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >………<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%28b%2B1%29=7%28b+%2B2%29+ ALIGN=MIDDLE  ALT=\"+3%28b%2B1%29=7%28b+%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >………<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3b%2B3=7b+%2B14+ ALIGN=MIDDLE  ALT=\"+3b%2B3=7b+%2B14+\"   DISABLED_style= \"max-width:90%; height:auto;\" >………<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+14+=+7b+-3b ALIGN=MIDDLE  ALT=\"3+-+14+=+7b+-3b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+11+=+4b ALIGN=MIDDLE  ALT=\"-+11+=+4b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+%2811%2F4%29+=+b ALIGN=MIDDLE  ALT=\"-+%2811%2F4%29+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+-+%2811%2F4%29 ALIGN=MIDDLE  ALT=\"b=+-+%2811%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b%2B2 ALIGN=MIDDLE  ALT=\"a=b%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-+%2811%2F4%29%2B2 ALIGN=MIDDLE  ALT=\"a=-+%2811%2F4%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-+%2811%2F4%29%2B%288%2F4%29 ALIGN=MIDDLE  ALT=\"a=-+%2811%2F4%29%2B%288%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=+-+%283%2F4%29+ ALIGN=MIDDLE  ALT=\"a=+-+%283%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, the original fraction is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb+=%28-3%2F4%29%2F%28-11%2F4%29=%283%2A4%29%2F%2811%2A4%29=3%2F11+ ALIGN=MIDDLE  ALT=\"a%2Fb+=%28-3%2F4%29%2F%28-11%2F4%29=%283%2A4%29%2F%2811%2A4%29=3%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb+=3%2F11+ ALIGN=MIDDLE  ALT=\"a%2Fb+=3%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....where <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=3 ALIGN=MIDDLE  ALT=\"a=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=11 ALIGN=MIDDLE  ALT=\"b=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a-1%29%2F%28b+%2B2%29+=+7%2F3 ALIGN=MIDDLE  ALT=\"+%28a-1%29%2F%28b+%2B2%29+=+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >………<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-%283%2F4%29-1%29%2F%28-%2811%2F4%29%2B2%29%29=+7%2F3+ ALIGN=MIDDLE  ALT=\"%28%28-%283%2F4%29-1%29%2F%28-%2811%2F4%29%2B2%29%29=+7%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%287%2F4%29%29%2F%28-%283%2F4%29%29=+7%2F3+ ALIGN=MIDDLE  ALT=\"%28-%287%2F4%29%29%2F%28-%283%2F4%29%29=+7%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287%2F4%29%29%2F%28%283%2F4%29%29=+7%2F3+ ALIGN=MIDDLE  ALT=\"%28%287%2F4%29%29%2F%28%283%2F4%29%29=+7%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A4%29%2F%283%2A4%29=+7%2F3+ ALIGN=MIDDLE  ALT=\"%287%2A4%29%2F%283%2A4%29=+7%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F3+=+7%2F3 ALIGN=MIDDLE  ALT=\"+7%2F3+=+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >………<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );