Question

Which of the following shows a pair of equations that are equivalent?

Answer 1

D

Answer 2

D.

Answer 3

No. it's not D

Answer 4

is D correct @robtobey

Answer 5

One of those sets of equations....if you multiply out the first equation, you get the 2nd equation.

Answer 6

D is correct

Answer 7

No....On D if you multiply out the first equation.
8 + 4(x + y) = 12
you get
8 + 4x + 4y = 12
that's not 12 (x + y) = 12

Answer 8

D is not correct.

Answer 9

You can't add the 8 to the 4 before distributing.

Answer 10

Expand A for me, please...

Answer 11

\[8+4(x+y) = 12\]

what is that after you remove the parentheses by distributing the 4?

Answer 12

8+4=12

Answer 13

\[4(x+y) = 4\]?!?

Answer 14

\[4(x+y) = 4*x + 4*y\]

Answer 15

let's make it a bit more real. We'll say that x = 2 and y = 3.

\[4(x+y) = 4(2+3) = 4*5 = 20\]If we use the distributive property, as I did:\[4(x+y) = 4*x + 4*y = 4*2 + 4*3 = 8 + 12 = 20\]

Let's try it with a different pair of numbers: x = 3, y = 5
\[4(x+y) = 4(3+5) = 4*8 = 32\]\[4(x+y) = 4*x + 4*y = 4*3 + 4*5 = 12+20 =32\]

Are you convinced that this works yet?

Answer 16

so it would be B?

Answer 17

@whpalmer4

Answer 18

You still haven't expanded either equation in A for me yet. Why are you guessing at answers, when you could determine the answer correctly?

Answer 19

\[8 + 4(x+y) = 12\]Expand that using the distributive property, as I just demonstrated on \(4(x+y)\)

Answer 20

4x – 8 = 4(x – 2)

Answer 21

How on earth did you come up with that?

Answer 22

\[8 + 4(x+y) = 12\]Do not touch the 8. Do not touch the 12. Just change \(4(x+y)\) to its equivalent using the distributive property. All you have to do is multiply 4 by each of the two things inside the ( )!

Answer 23

ITS D