document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194899>Question 194899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm very confused about this problem, so I really hope someone can help me. I dont know how to type this and I looked at the fourmula plotting system but couldnt find anything, so I will try to explain it the best I can.\r<BR>\n" );
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document.write( "I have to write an expression for the following.\r<BR>\n" );
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document.write( "y+y+...+y\r<BR>\n" );
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document.write( " (then there is a curly bracket under it making it look like a fraction(except that its a curly bracket) and under the bracket is the following)\r<BR>\n" );
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document.write( "x of them </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146237 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=146237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's start off with some simple cases:\r<BR>\n" );
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document.write( "Case 1: If we have only one y, then we'll simply have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1y ALIGN=MIDDLE  ALT=\"y=1y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Case 2: If we add up two y's, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2By=2y ALIGN=MIDDLE  ALT=\"y%2By=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Case 3: If we add up three y's, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2By%2By=3y ALIGN=MIDDLE  ALT=\"y%2By%2By=3y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Case 4: If we add up four y's, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2By%2By%2By=4y ALIGN=MIDDLE  ALT=\"y%2By%2By%2By=4y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "etc...\r<BR>\n" );
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document.write( "So all we're doing is placing the number of y's that we're adding in front of the y's.\r<BR>\n" );
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document.write( "So if we add up 5 y's, then we'll get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y ALIGN=MIDDLE  ALT=\"5y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If we add up 22 y's, then we'll get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22y ALIGN=MIDDLE  ALT=\"22y\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "So if we add up \"x\" y's, then we'll get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the answer.\r<BR>\n" );
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document.write( "Note: the reason why this works is because multiplication is really a shortcut for repeated addition. </SPAN>\n" );
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