Identify if the following simultaneous equations are set up for the elimination method: (1)(1)2𝑥+4𝑦2x+4y==2020 (2)(2)𝑥x==𝑦+1y+1

The given simultaneous equations are:

(1) 2x + 4y = 20 (2) x = y + 1

The elimination method involves adding or subtracting the equations in order to eliminate one of the variables. To determine if these equations are set up for the elimination method, we need to see if the coefficients of x or y in both equations are the same or negatives of each other.

Looking at the equations, we can see that the coefficients of x and y are not the same in both equations. Therefore, these equations are not set up for the elimination method. However, they can be rearranged to be suitable for the elimination method.

For example, we can multiply equation (2) by 2 to get 2x = 2y + 2. Now, the coefficients of x in both equations are the same, and we can subtract equation (2) from equation (1) to eliminate x:

(1) 2x + 4y = 20 (2) 2x = 2y + 2

Subtracting equation (2) from equation (1) gives:

2y = 18

So, the original equations were not set up for the elimination method, but they can be rearranged to be suitable for this method.