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