document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=552441>Question 552441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Together lake superior and lake michigan cover 54 thousand square miles. lake superior is approximately 10,000 square miles larger than lake michigan. find the sizes of both lakes  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360303 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">Let S be Lake Superior, and let M be Lake Michigan.<br>\r<BR>\n" );
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document.write( "Then we are given:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2BM=54000 ALIGN=MIDDLE  ALT=\"S%2BM=54000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=M%2B10000 ALIGN=MIDDLE  ALT=\"S=M%2B10000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Since the second equation is already solved in terms of S,<br>\r<BR>\n" );
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document.write( "lets substitute that value for S into the first equation:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2BM=54000 ALIGN=MIDDLE  ALT=\"S%2BM=54000\"   DISABLED_style= \"max-width:90%; height:auto;\" > given<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28M%2B10000%29%2BM=54000 ALIGN=MIDDLE  ALT=\"%28M%2B10000%29%2BM=54000\"   DISABLED_style= \"max-width:90%; height:auto;\" > substituted<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%2B10000%2BM=54000 ALIGN=MIDDLE  ALT=\"M%2B10000%2BM=54000\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplified<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2M%2B10000=54000 ALIGN=MIDDLE  ALT=\"2M%2B10000=54000\"   DISABLED_style= \"max-width:90%; height:auto;\" > combined like terms<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2M=44000 ALIGN=MIDDLE  ALT=\"2M=44000\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtracted 10000 from both sides<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=22000 ALIGN=MIDDLE  ALT=\"M=22000\"   DISABLED_style= \"max-width:90%; height:auto;\" > divided both sides by 2<br>\r<BR>\n" );
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document.write( "Then we can plug this value for M into either equation to find S:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=M%2B10000 ALIGN=MIDDLE  ALT=\"S=M%2B10000\"   DISABLED_style= \"max-width:90%; height:auto;\" > given<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=22000%2B10000 ALIGN=MIDDLE  ALT=\"S=22000%2B10000\"   DISABLED_style= \"max-width:90%; height:auto;\" > substituted<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=32000 ALIGN=MIDDLE  ALT=\"S=32000\"   DISABLED_style= \"max-width:90%; height:auto;\" > combined like terms<br>\r<BR>\n" );
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document.write( "So we can now see that Lake Superior covers about 32000 square miles,<br>\r<BR>\n" );
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document.write( "while Lake Michigan covers about 22000 square miles.<br>\r<BR>\n" );
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document.write( "I hope this helps!  :)<br>\r<BR>\n" );
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document.write( "Email Scott: neatmath@yahoo.com for help with specific problems,<br>\r<BR>\n" );
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document.write( "or to inquire about mathematics tutoring via email or other methods.<br>\r<BR>\n" );
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document.write( "Paypal is always accepted for single problems or for more intensive tutoring!<br>\r<BR>\n" );
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document.write( "Single problems would range from 50 cents to 5 dollars each, depending on their complexity.<br><br> </SPAN>\n" );
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