Question

HELP PLEASE CAN SOMEONE HELP ME WITH THIS AND PLEASE MAKE THE ANSWER RIGHT PLEASE AND THANK YOU

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

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

Explanation:

{2x + 6y = 12

{4x + 3y = 15

{2x + 6y = 12

{−8x − 6y = −30 >> New Equation

* Doing this will give you additive inverses of −6y and 6y, which result in 0, so they are both ELIMINATED.

** [3, 1] is your solution.

I am joyous to assist you anytime.