Quiz (1 point)
Given that:
a / c = b / c
not (c = 0)
Prove that:
a = b
The following properties may be helpful:
- a / b = a ⋅ (1 / b)
- a / b = a ⋅ (1 / b)
if the following are true:
- a = b
- a = c
- b = d
then c = d
if a = b, then a ⋅ c = b ⋅ c
if not (c = 0), then (a ⋅ (1 / c)) ⋅ c = a
if not (c = 0), then (a ⋅ (1 / c)) ⋅ c = a
if the following are true:
- a = b
- a = c
- b = d
then c = d
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.