Use the elimination method to solve the system 3x−2y=6

Question

and 4x+2y=8
(1 point)
Responses

No solution
No solution

(-2,0)
(-2,0)

(2,0)
(2,0)

(0,4)

Answer 1

(2,0)

Answer 2

wrong

Answer 3

Let's solve the system of equations using the elimination method:

1. 3x - 2y = 6
2. 4x + 2y = 8

Add the two equations together to eliminate y:
(3x - 2y) + (4x + 2y) = 6 + 8
3x - 2y + 4x + 2y = 14
7x = 14
x = 2

Now substitute x = 2 into the first equation to solve for y:
3(2) - 2y = 6
6 - 2y = 6
-2y = 0
y = 0

Therefore, the solution to the system of equations is (2, 0).