Question

Help pls! Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate one variable when they are combined?

Multiply the second equation by −2 to get −8x − 6y = −30.
Multiply the first equation by 2 to get 4x + 12y = 24.
Multiply the second equation by −4 to get −16x − 12y = −60.
Multiply the first equation by −4 to get −8x − 24y = −48.

Answer 1

answer A multiply by the second equation by -2 to get -8x - 6y = -30

Explanation:

i took this test this is the anwser

Answer 2

Multiply the second equation by −2 to get −8x − 6y = −30.

Explanation:

we have

`2x+6y=12` ----> first equation

`4x+3y=15` ----> second equation

Solve by elimination

Multiply the second equation by -2 both sides

`-2(4x+3y)=-2(15)`

`-8x-6y=-30` ---> equivalent second equation

Adds first equation and the equivalent second equation

`2x+6y=12\\-8x-6y=-30\\------\\2x-8x=12-30\\-6x=-18\\x=3`

Find the value of y

substitute the value of x in any of the equations

`2(3)+6y=12`

`6y=12-6`

`y=1`

the solution of the system is the point (3,1)