document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073092>Question 1073092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a system of linear equations to represent the situation. Then, answer the question using (a) a table, (b) a graph, and (c) algebra. \r<BR>\n" );
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document.write( "3. There are 62 time slots for cheerleading tryouts on Saturday and Sunday. There are 14 more slots on Saturday than on Sunday. Find the number of Saturday time slots x and the number of Sunday time slots y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687919 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+62+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+62+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-x+%2B+62+ ALIGN=MIDDLE  ALT=\"+y+=+-x+%2B+62+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+y+%2B+14+ ALIGN=MIDDLE  ALT=\"+x+=+y+%2B+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x+-+14+ ALIGN=MIDDLE  ALT=\"+y+=+x+-+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "solving by substitution:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-x+%2B+62+=+x+-+14+ ALIGN=MIDDLE  ALT=\"+-x+%2B+62+=+x+-+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+76+ ALIGN=MIDDLE  ALT=\"+2x+=+76+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+38+ ALIGN=MIDDLE  ALT=\"+x+=+38+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x+-+14+ ALIGN=MIDDLE  ALT=\"+y+=+x+-+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+38+-+14+ ALIGN=MIDDLE  ALT=\"+y+=+38+-+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+24+ ALIGN=MIDDLE  ALT=\"+y+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the point ( 38,24 ) which is <BR>\n" );
document.write( "38 Saturday slots and 24 Sunday slots<BR>\n" );
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document.write( "I did (C) first ( algebra )<BR>\n" );
document.write( "Now here is (B), the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+70%2C+-10%2C+70%2C+-x+%2B+62%2C+x+-+14+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-10%2C+70%2C+-10%2C+70%2C+-x+%2B+62%2C+x+-+14+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Note that entries for Sunday are plotted on the<BR>\n" );
document.write( "vertical axis, and entries for Saturday on the horizontal axis.<BR>\n" );
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document.write( "As for the table, there are 2 colums, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B2%5D+ ALIGN=MIDDLE  ALT=\"+y%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The rows are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which are 0,1,2,3,4,5 . . . <BR>\n" );
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document.write( "Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( slots for Saturday ) and you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > slots for Sunday according to equation (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B2%5D+ ALIGN=MIDDLE  ALT=\"+y%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > slots for Sunday according to equation (2)<BR>\n" );
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document.write( "It will look like:<BR>\n" );
document.write( "x -- y[1] - - y[2]<BR>\n" );
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document.write( "0 --- 62 --- (-14)<BR>\n" );
document.write( "1 --- 61 --- (-13)<BR>\n" );
document.write( "2 --- 60 --- (-12)<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "until you get to the solution:<BR>\n" );
document.write( "38 -- 24 -- 24<BR>\n" );
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document.write( "hope this helps\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );