$$\begin{aligned}
& 2 ^ { x } \equiv 1 ( \bmod 7 ) \\
& 3 ^ { y } \equiv 4 ( \bmod 7 )
\end{aligned}$$ For the smallest positive integers x and y satisfying these congruences, what is the difference $y - x$? A) 5 B) 4 C) 3 D) 2 E) 1
$$\begin{aligned}
& 2 ^ { x } \equiv 1 ( \bmod 7 ) \\
& 3 ^ { y } \equiv 4 ( \bmod 7 )
\end{aligned}$$
For the smallest positive integers x and y satisfying these congruences, what is the difference $y - x$?\\
A) 5\\
B) 4\\
C) 3\\
D) 2\\
E) 1