Answer: x = 2 , y = -10/3

Step-by-step explanation:

x - 3y - 12 = 0

4x + 6y + 12 = 0

2(x - 3y - 12)

4x + 6y + 12

2x - 6y - 24

4x + 6y + 12

(Add)

2x - 24

4x + 12

(Add)

2x - 24 + 4x + 12

(Add)

6x - 12

(6x - 12)/6

x - 2

x = 2

x - 3y - 12 = 0

(substitute x)

2 - 3y - 12 = 0

-3y - 10 = 0

3y = -10

(3y = -10)/3

y = -10/3