Q:

Given the following system of equations:−4x + 8y = 162x + 4y = 8What action was completed to create this new equivalent system of equations?−2x + 4y = 82x + 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.

Accepted Solution

A:
Answer:   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.