Question

Which of the following equations could be the result of using the comparison method to solve the system shown?

x + 2y = 6
x - 4y = 8

2y - 6 = 4y + 8
6 - 2y = -4y + 8
6 - 2y = 4y + 8

Answer 1

6-2y=4y+8
since you show x through y

Answer 2

The result that is obtained on comparing the system of equations in order to get the solution to the system of equations is:

6 -2y =4y + 8

Explanation:

We are given a system of equations in term of variable x and y as follows:

x + 2y = 6 --------(1)

x - 4y = 8-------------(2)

• From equation (1) we have the value of x in terms of y as:

x=6-2y

• From equation (2) we have the value of x in terms of y as:

x=8+2y

Hence, on equation the above two values of 'x' we obtain:

6 - 2y = 4y + 8