document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272430>Question 272430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would u solve a systems of equations applications like this one.<BR>\n" );
document.write( "A class divides into two groups for a science experiment. the first group has five fewer students than the second group. if there are 27 students in the class, how many students are in each group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199281 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=199281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The class has 27 students divided into two groups.<BR>\n" );
document.write( "x = number of students in one group<BR>\n" );
document.write( "y = number of students in the other group<BR>\n" );
document.write( "x + y = 27 describes the whole class.<BR>\n" );
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document.write( "One group has 5 fewer than the other.  This can be shown as:<BR>\n" );
document.write( "x = y + 5  :: which means y has 5 fewer than x<BR>\n" );
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document.write( "this can be solved as a system of equations.<BR>\n" );
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document.write( "x + y = 27<BR>\n" );
document.write( "x - y = 5<BR>\n" );
document.write( "add them<BR>\n" );
document.write( "2x = 32<BR>\n" );
document.write( "x = 16<BR>\n" );
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document.write( "which means<BR>\n" );
document.write( "y = 27 - 16 = 11<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "One group has 16 and the other has 11.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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