Quiz (1 point)
Given that:
a = b + c
Prove that:
a + (c ⋅ (-1)) = b
The following properties may be helpful:
- (a + b) + c = a + (b + c)
- a + (a ⋅ (-1)) = 0
- a + 0 = a
if a = b, then a + c = b + c
if the following are true:
- a = b
- b = c
then a = c
if a = b, then x + a = x + b
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = c
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.