Question

Prove:
when xz= yz then x=y if z is not equal to zero

Answer 1

xz = yz
xz - yz = 0
x * z - y * z = 0
(x - y) * z = 0

So, either (x - y) = 0 or z = 0
It is given z ≠ 0, thus (x - y) = 0
x - y = 0
x = y