Question

Question 8(Multiple Choice Worth 1 points) (04.03 LC) Given the following system of equations:

−4x + 8y = 16
2x + 4y = 32
What action was completed to create this new equivalent system of equations? −2x + 4y = 8
2x + 4y = 32
A) Divide the second equation, 2x + 4y = 32, by 2.
B) Divide the first equation, −4x + 8y = 16, by 2.
C) Multiply the second equation, 2x + 4y = 32, by −1.
D) Multiply the first equation, −4x + 8y = 16, by −1.

Answer 1

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

Explanation:

Answer 2

Option B) Divide the first equation, −4x + 8y = 16, by 2

Explanation:

we have

`-4x+8y=16` ----> First equation

`2x+4y=32` ----> Second equation

Divide the first equation by 2 both sides

so

`(1)/(2)(-4x+8y)=(1)/(2)(16)`

apply distributive property left side

`(1)/(2)(-4x)+(1)/(2)(8y)=(1)/(2)(16)`

`-2x+4y=6`

The new equivalent system is

`-2x+4y=6` ---> first equation divided by 2

`2x+4y=32` ---> is the same second equation

therefore

Option B