Find the value of x:
(35-207)= x mod 11
Can someone show the steps for this answer? I just don't know what to do after I get -172.
$\displaystyle (35 - 207) \equiv x~\text{mod 11}$
$\displaystyle -172 \equiv x~\text{mod 11}$
So x is the remainder when you divide -172 by 11, ie. it is the solution of the equation:
$\displaystyle -172 = 11 \cdot n + x$
where n is an integer and x is defined to be $\displaystyle 0 \leq x < 11$.
I get n = -16 as giving x in the required interval, so
$\displaystyle 4 \equiv x~\text{mod 11}$
-Dan