document.write( "Question 300863: if the integer n is divided by 7,the remainder is 2.what is the remainder if 5n is divided by 7 ?\r
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Algebra.Com's Answer #215809 by Fombitz(32388) $\"\"$ $\"About$

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$\"n%2F7=q%2B2%2F7\"$
\n" ); document.write( "where n,q are integers.
\n" ); document.write( "Multiply both sides by 7.
\n" ); document.write( " $\"n=7q%2B2\"$
\n" ); document.write( " $\"5n=35q%2B10\"$
\n" ); document.write( " $\"5n%2F7=35q%2F7%2B10%2F7\"$
\n" ); document.write( " $\"5n%2F7=5q%2B7%2F7%2B3%2F7\"$
\n" ); document.write( " $\"5n%2F7=%285q%2B1%29%2B3%2F7\"$
\n" ); document.write( " $\"5q%2B1\"$ is also an integer.
\n" ); document.write( "The remainder is then $\"3\"$ .
\n" ); document.write( "c) 3. \n" ); document.write( "

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