document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26682>Question 26682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let a not equal 0, b and c be integers with a and b relatively prime.<BR>\n" );
document.write( "Show that if a|b*c then a|c.<BR>\n" );
document.write( "how do i give equations for relatively prime and divisible and then substitute.<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 #14522 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a not equal 0, b and c be integers with a and b relatively prime.<BR>\n" );
document.write( "Show that if a|b*c<BR>\n" );
document.write( "A|BC...HENCE....<BR>\n" );
document.write( "BC=A*M......I.......WHERE M IS AN INTEGER<BR>\n" );
document.write( "AND B ARE RELATIVELY PRIME...THAT IS THEY HAVE NO COMMON FACTORS OR THEIR GCD IS 1.<BR>\n" );
document.write( "HENCE GCD =1 =AX+BY...WHERE X AND Y ARE INTEGERS..MULTIPLYING BY C THROUGHOUT,WE GET..<BR>\n" );
document.write( "C=CAX+CBY...SUBSTITUTING EQN.I...<BR>\n" );
document.write( "C=CAX+AMY=A(CX+MY)=A*K SAY.....WHERE K=CX+MY...<BR>\n" );
document.write( "BUT C,X,M,Y ARE ALL INTEGERS...HENCE K IS AN INTEGER. <BR>\n" );
document.write( "C=A*K....OR...A DIVIDES C....A|C\r<BR>\n" );
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document.write( " then a|c.<BR>\n" );
document.write( "how do i give equations for relatively prime and divisible and then substitute.<BR>\n" );
document.write( "USE GCD OF A AND B  =XA+YB...TO CONVERT INTO EQNS.HOPE YOU UNDERSTOOD.\r<BR>\n" );
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