The Multiplicative Property of Equality allows us to multiply both the left and right sides by (1/a). This is the same as dividing both sides by a

Since 1/a ⋅ a ⋅ x = x, the equation becomes:

x = y

Quiz (1 point)

• if a ⋅ x = a ⋅ y, then (1 / a) ⋅ (a ⋅ x) = (1 / a) ⋅ (a ⋅ y)

• if not (a = 0), then (1 / a) ⋅ (a ⋅ x) = x

• if not (a = 0), then (1 / a) ⋅ (a ⋅ x) = x

• 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.

Step	Claim	Reason (optional)	Error Message (if any)
1
2
3
4
5
6
7
8
9
10

Add Step Reset

Become a subscriber to save your progress, see the correct answer, and more!