Given the following system of equations:

-4x + 8y = 16

2x + 4y = 8

What action was completed to create this new equivalent system of equations?

-2x + 4y = 8

2x + 4y = 8

A. Multiply the second equation, 2x + 4y = 8, by - 1.

B. Multiply the first equation, - 4x + 8y = 16, by - 1.

C. Divide the second equation, 2x + 4y = 8, by 2.

D. Divide the first equation, - 4x + 8y = 16, by 2.

D. Divide the first equation, - 4x + 8y = 16, by 2.

Step-by-step explanation:

All you have to do is look at the effect of the proposed action on the constant on the right to tell which answer choices are incorrect.

A: you would get - 8 on the right. Neither equation has that. B: you would bet - 16 on the right. Neither equation has that. C: you would get 4 on the right. Neither equation has that. D: you would get - 2x + 4y = 8, matching the first equation of the new system exactly.

D. Divide the first equation, - 4x + 8y = 16, by 2.

Step-by-step explanation:

-4x + 8y = 16

2x + 4y = 8

Take the first equation and divide it by 2

-4x/2 + 8y/2 = 16/2

-2x + 4y = 8