If x=6y, which of the following is a multiple of x?

a. 12y
b. 9y
c. 5y
d. 4y
e. 3y

multiples are often considered whole number multipliers.

nx=n*6y

if n=2, then the first answer is right.

say y =1

then x = 6
12 y = 12 which is a multiple of 6
so 12 y is a multiple of x

To determine which of the options is a multiple of x, we need to substitute the value of x in each option and check if it satisfies the equation x = 6y.

Let's substitute the value of x = 6y into each option:

a. 12y: Substitute x = 6y into a. We get 12y = 6y, which is not true. Therefore, a. 12y is not a multiple of x.

b. 9y: Substitute x = 6y into b. We get 9y = 6y, which is not true. Therefore, b. 9y is also not a multiple of x.

c. 5y: Substitute x = 6y into c. We get 5y = 6y, which is not true. Therefore, c. 5y is not a multiple of x.

d. 4y: Substitute x = 6y into d. We get 4y = 6y, which is not true. Therefore, d. 4y is not a multiple of x.

e. 3y: Substitute x = 6y into e. We get 3y = 6y, which is true. Therefore, e. 3y is a multiple of x.

So, the correct option is e. 3y.