Question

Show that if ac | bc, then a | b.

*Please go step by step*

Answer 1

Given:

.

To prove:

Proof:

Step 1:

Since ac dives bc, by Theorem, for some integer k,

ack = bc                              (1)

Step 2:

Dividing both sides of (1) by c, we get:

ak = b.                           (2)

Step 3:

From (2), we note : Since k is an inieger, a divides b.

This proves the required result: