document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=407938>Question 407938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the smallest positive integer which satisfies the congrence 3x+11=13(mod17) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287447 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 3x + 11 &#8801; 13 (mod 17) then 3x &#8801; 2 (mod 17). Hence, 3x = 2, 19, 36, ... and the smallest positive integer that satisfies is 3x = 36 --> x = 12. \r<BR>\n" );
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document.write( "We can easily check since 3(12) + 11 = 47 &#8801; 13(mod 17). </SPAN>\n" );
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