document.write( "Question 1113877: Given x≡19(mod5)\r
\n" ); document.write( "\n" ); document.write( "Identify which one of the following options gives integers that are valid solutions for x ?
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "-19 and 7
\n" ); document.write( "
\n" ); document.write( "-11 and 54
\n" ); document.write( "
\n" ); document.write( "7 and 26
\n" ); document.write( "
\n" ); document.write( "11 and 26\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #846966 by math_tutor2020(3816)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Answer: Choice B) -11 and 54\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Reason\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If a = b (mod n) then a-b is a multiple of n.
\n" ); document.write( "It means that a-b = nk for some integer k.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-11 = 19 (mod 5) because -11-19 = -30 is a multiple of 5.
\n" ); document.write( "54 = 19 (mod 5) because 54-19 = 35 is a multiple of 5.
\n" ); document.write( "
\n" ); document.write( "
\n" );