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.v

(D) Divide the first equation, , by 2.

Step-by-step explanation:

Given:

We need to find the operation performed on equation so as to get resultant equation as:

From Above we can see that there is no change in equation 2 with respect to resultant equation.

Also Resultant equation is simplified form of equation 1.

Simplifying equation 1 we get;

We can see that 2 is the common multiple on both side.

Hence we will divide equation 1 with 2 we get

which is the resultant equation.

Hence (D) Divide the first equation, , by 2 is the correct option.