PLEASE HELP ME PLEASE

Question

Given the system of equations presented here:

4x + y = 4

2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

 A.Multiply the first equation by −4 to get −16x − 4y = −16.

 B.Multiply the second equation by −4 to get −8x − 24y = −96. 

C.Multiply the first equation by −2 to get −8x − 2y = −8. 

D.Multiply the second equation by −2 to get −4x − 12y = −48.

Answer 1

When you combine 2 equations, you ADD or SUBTRACT to eliminate one variable. This means you want to change one equation such that either variable has the same coefficient as that variable in the other equation.

Look at the choices to see which on give you 2 equations where the x coefficients are the same but opposite sign.

Answer 2

The answer for this particular problem is choice D.

Explanation: This method is commonly known as "elimination method".

4x+y = 4 if you multiply the second equation by -2 you get 4x. +. y = 4

(-2) 2x +6y =24 -4x - 12y = -48

_________ ____________

-11y = -44

Notice that you just "eliminate x" so now you can find y. y= -44/-11= 4

y=4, you can substitute this value in nay of your systems of equations to find x

let select equation (1). 4x + y =4 , 4x+ 4= 4, subtract 4 in both sides, you get 4x=0, so x=0

The solution of the systems of equations is(0,4).⁄