document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174698>Question 174698</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618595554/algebrahomeworkh>Alegebra 2, Texas Edition</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.<BR>\n" );
document.write( "1. Write a system of equations to represent the given information and solve using the elimination method for each variable.\r<BR>\n" );
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document.write( "Thank You for all your help in advance. =) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129745 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=129745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call the time spent at soup kitchen,trash pickup, and toy collecting<BR>\n" );
document.write( "s, t, and c, respectively<BR>\n" );
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document.write( "c=4t...........eq 1<BR>\n" );
document.write( "s=t-2..........eq 2<BR>\n" );
document.write( "s+t+c=40.......eq 3<BR>\n" );
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document.write( "c=4t........eq 1<BR>\n" );
document.write( "s+t+c=40....eq 3<BR>\n" );
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document.write( "multiply eq 1 by -1 to then add the two equations together thus eliminating the c terms, leaving us with s+t=-4t+40---->s+5t=40<BR>\n" );
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document.write( "s=t-2.....eq 2<BR>\n" );
document.write( "s+5t=40...revised equation after eliminating c terms<BR>\n" );
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document.write( "multiply eq 2 by -1 and add the two equations together thus eliminating the s terms, leaving us with  5t=-t+2+40<BR>\n" );
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document.write( "6t=42<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=7%29 ALIGN=MIDDLE  ALT=\"highlight%28t=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours picking up trash<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=4t=4%287%29=28%29 ALIGN=MIDDLE  ALT=\"highlight%28c=4t=4%287%29=28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours toy collecting<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s=t-2=7-2=5%29 ALIGN=MIDDLE  ALT=\"highlight%28s=t-2=7-2=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours in the soup kitchen\r<BR>\n" );
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