document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665643>Question 665643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investment of 10,000 is split among two accounts.  One account earns 3.5 %simple interest and the other account earns 7.5% simple interest (annually).  The total interest earned at the end of the year is 520.  Find the amount in each account.  I need to show work and set this up as a system of equations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413978 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=413978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Establish variables<BR>\n" );
document.write( "x = $ at 3.5%<BR>\n" );
document.write( "y = $ at 7.5%<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Given<BR>\n" );
document.write( "x+y = 10,000, which is the same as x = 10000-y<BR>\n" );
document.write( ".035(x) + .075(y) = 520<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Substitute x into the second equation<BR>\n" );
document.write( ".035(10000-y) + .075y = 520<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Distribute .035<BR>\n" );
document.write( ".035(10000) - .035y + .075y = 520<BR>\n" );
document.write( "350 + .04y = 520<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Isolate y<BR>\n" );
document.write( ".04y = 520 - 350<BR>\n" );
document.write( ".04y = 170<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Divide both sides by .04<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284250%29 ALIGN=MIDDLE  ALT=\"highlight%284250%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >at 7.5%<BR>\n" );
document.write( "x = 10000-4250 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285750%29 ALIGN=MIDDLE  ALT=\"highlight%285750%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > at 3.5%<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28%0D%0A.035%285750%29+%2B+.075%284250%29%2C+201.25+%2B+318.75%2C+520%29 ALIGN=MIDDLE  ALT=\"cartoon%28%0D%0A.035%285750%29+%2B+.075%284250%29%2C+201.25+%2B+318.75%2C+520%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );