document.write( "Question 883923: When the positive integer x is divided by 8, the remainder is 3. What is the remainder when 3x+3 is divided by 8?
\n" ); document.write( "a) 1
\n" ); document.write( "b)2
\n" ); document.write( "c)3
\n" ); document.write( "d)4
\n" ); document.write( "e)5
\n" ); document.write( "

Algebra.Com's Answer #533851 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
x/8 = q remainder 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x/8 = q + 3/8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 8q + 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 8q + 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x = 3(8q + 3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x = 24q + 9\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x+3 = 24q + 9 +3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x+3 = 24q + 12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(3x+3)/8 = (24q + 12)/8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(3x+3)/8 = 3q + 12/8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(3x+3)/8 = 3q + 8/8 + 4/8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(3x+3)/8 = 3q + 1 + 4/8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(3x+3)/8 = (3q + 1) + 4/8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the remainder is 4
\n" ); document.write( "
\n" );