document.write( "Question 1192367: When x is divided by 7, the remainder is 5. What is the remainder when 5x is divided by 7? \n" ); document.write( "

Algebra.Com's Answer #824261 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "The problem says\r\n" );
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document.write( "    x  = 7n + 5  for some integer n.\r\n" );
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document.write( "Multiply it by 5\r\n" );
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document.write( "    5x = 5*(7n) + 5*5 = 35x + 25 = 7*(5n) + 25.\r\n" );
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document.write( "It means that 5x, when divided by 7, gives the same remainder, as the number 25.\r\n" );
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document.write( "Thus the sough remainder is  25 mod 7 = 4.    ANSWER\r\n" );
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