Question

In the equation 2y=18, determine which property of equality will be used to isolate the variable. Choose the best answer. A. Multiplication Property of Equality B, Addition Property of Equality C. Division Property of Equality D. Subtraction Property of Equality

Answer 1

C. Division Property of Equality

Explanation:

The equation is

2y = 18

The answer is of the form

y = a number

Now, we have 2y. We want y alone. 2y means 2 multiplied by y. Since we want y alone, to undo the multiplication of 2 and y, we need to use division. We need to divide 2y by 2. Then we also need to divide the right side by 2. Since we are using division, the answer is:

C. Division Property of Equality

Answer 2

(C) Division Property of Equality

Explanation:

Looking at the equation
`2y=18`, we see that if we want to isolate y, we need to divide it by 2 - because we're multiplying it by 2, and 2 times a number divided by 2 is just the number.

The Division Property of Equality states that if we have an equation,
`a=b`, then
`a/ c = b/ c`.

So, that means
`2y/ 2` will be equal to
`18 / 2`, which is 9.

Hope this helped!