Question

Which property can be used to solve the equation?

5d=75
addition property of equality
subtraction property of equality
O multiplication property of equality
O division property of equality

Answer 1

Explanation:

It is multiplication property of equality. The goal is to get d by itself so what we do here is basically a process of

`5d=75\\\\5d/5=75/5\\\\d=15`

Answer 2

Division property of equality...

Explanation:

The person above me was close, and they were right about the process of getting 15, but it is not multiplication property of equality.

Proof:

1. You have to undo what has been done to find out d, the variable that we are solving for. In other words, we're simply solving for x.

2. You can't undo the multiplication by doing more multiplication.

3. Given: 5d=75, and by doing inverse operations, you flip it around to:

75 ÷ 5 = d. this is the division property of equality because we're doing the opposite of multiplication to solve for d, and we're undoing the multiplication.

4. Do the math, or use a calculator to find what 75 divided by 5 is.

5. The answer is 15, so 15 = d.

Therefore,

It is "D," division property of equality.