document.write( "Question 621710: please help and explain? 7*?≡ 8(mod9) \n" ); document.write( "
Algebra.Com's Answer #390894 by dfrazzetto(283) You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "a=b(mod n)\r \n" ); document.write( "\n" ); document.write( "if their difference a − b is an integer multiple of n. The number n is called the modulus of the congruence.\r \n" ); document.write( "\n" ); document.write( "so:\r \n" ); document.write( "\n" ); document.write( "7x=8(mod9); 7x - 8 has to be a multiple of 9, trying iterative values:\r \n" ); document.write( "\n" ); document.write( "7(1) - 8 = -1 no\r \n" ); document.write( "\n" ); document.write( "7(2) - 8 = 6 no\r \n" ); document.write( "\n" ); document.write( "7(3) - 8 = 13 no\r \n" ); document.write( "\n" ); document.write( "7(4) - 8 = 20 no\r \n" ); document.write( "\n" ); document.write( "7(5) - 8 = 27 yes\r \n" ); document.write( "\n" ); document.write( "7*5 = 8(mod9) \n" ); document.write( " \n" ); document.write( " |