document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113998>Question 1113998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given\r<BR>\n" );
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document.write( " Amod7=5 \r<BR>\n" );
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document.write( "  Bmod7=6\r<BR>\n" );
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document.write( "(A+B)mod7=Y\r<BR>\n" );
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document.write( "Identify which one of the following options is a valid solution for Y ?\r<BR>\n" );
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document.write( "	<BR>\n" );
document.write( " -4\r<BR>\n" );
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document.write( "5\r<BR>\n" );
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document.write( "4\r<BR>\n" );
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document.write( "-7\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729014 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = bmodn means that a = b +kn for some integer k<BR>\n" );
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document.write( "Amod7 + Bmod7 = 5 + 6 = 11<BR>\n" );
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document.write( "11mod7 = 4<BR>\n" );
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document.write( "note that 11 = 4 + 7, this is one solution<BR>\n" );
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document.write( "answer is 4<BR>\n" );
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document.write( "note that it can be proved that given Amod7=5 and Bmod7=6 then Amod7 + Bmod7 = (A+B)mod7 = (5+6)mod7<BR>\n" );
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document.write( "can you prove this using the definition of modulus above?<BR>\n" );
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