document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064576>Question 1064576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number exceeds another by 4. If three times the larger number is divided by the smaller number, the quotient is 4 and the remainder is 5. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679652 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=679652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x and y so that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Cy ALIGN=MIDDLE  ALT=\"x%3Cy\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The description becomes  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-x=4%2C3y%2Fx=4%2B5%2Fx%29 ALIGN=MIDDLE  ALT=\"system%28y-x=4%2C3y%2Fx=4%2B5%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "THE STEPS<BR>\n" );
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document.write( "You want to simplify the system or at least work with the fractional equation, and then use either substitution method or elimination method to find each variable.  The system itself as shown above is strictly the literal translation of the description, as clearly as that.\r<BR>\n" );
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document.write( "Just your ordinary Fractions skills to deal with that fractional second equation.<BR>\n" );
document.write( "LCD is just x.<BR>\n" );
document.write( "MULTIPLY left and right members by x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%283y%2Fx%29=x%284%2B5%2Fx%29 ALIGN=MIDDLE  ALT=\"x%283y%2Fx%29=x%284%2B5%2Fx%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=3y=4x%2B5 ALIGN=MIDDLE  ALT=\"3y=4x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simpler system is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-x=4%2C3y=4x%2B5%29 ALIGN=MIDDLE  ALT=\"system%28y-x=4%2C3y=4x%2B5%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=3y=4x%2B5 ALIGN=MIDDLE  ALT=\"3y=4x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-4x=5 ALIGN=MIDDLE  ALT=\"3y-4x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Equivalent simpler system,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-x=4%2C3y-4x=5%29 ALIGN=MIDDLE  ALT=\"system%28y-x=4%2C3y-4x=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The First equation,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-x=4 ALIGN=MIDDLE  ALT=\"y-x=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=y=4%2Bx ALIGN=MIDDLE  ALT=\"y=4%2Bx\"   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=x%2B4 ALIGN=MIDDLE  ALT=\"y=x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute into the second equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B4%29-4x=5 ALIGN=MIDDLE  ALT=\"3%28x%2B4%29-4x=5\"   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%2B12-4x=5 ALIGN=MIDDLE  ALT=\"3x%2B12-4x=5\"   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-4x%2B12=5 ALIGN=MIDDLE  ALT=\"3x-4x%2B12=5\"   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%2B12=5 ALIGN=MIDDLE  ALT=\"-x%2B12=5\"   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-12=-5 ALIGN=MIDDLE  ALT=\"x-12=-5\"   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=-5%2B12 ALIGN=MIDDLE  ALT=\"x=-5%2B12\"   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=highlight_green%28x=7%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------Use this to find y.<BR>\n" );
document.write( "Remember the step way above?   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B4 ALIGN=MIDDLE  ALT=\"y=x%2B4\"   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=highlight%28system%28x=7%2Cy=11%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28x=7%2Cy=11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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