Answer:
x=2, y=2
(2,2)
Explanation:
To solve by elimination, we need to have on variable an its coefficient be the opposite of the other
I will multiply the second equation by 2 to make 2x become 4x to eliminate the x variable
2(2x+4y) = 12*2
4x+8y = 24
Now add the first equation with the modified second equation
-4x - 2y = -12
4x +8y =24
-------------------
6y = 12
Divide each side by 6
6y/6 = 12/6
y =2
Now we need to find x
2x+4y = 12
Substitute in y=2
2*x + 4*2 = 12
2x+8 = 12
Subtract 8 from each side
2x +8-8 = 12-8
2x=4
Divide each side by 2
2x/2 =4/2
x=2