Answer: x = (15/6), y = (1/2). Explanation: To solve this equation through elimination, you need to isolate one of the variable. You can isolate the y variable since the x variables can be subtracted and go away. Add the two equations to get rid of one variable. (6x + 6y = 18) + (-6 + 2y = -14) = (8y = 4). Now you need to solve for y. y = 4/8, y = 1/2. Now, plug the y back into one equation and solve for x. 6x + 6(1/2) = 18. 6x + 3 = 18. 6x = 15. x = 15/6. Plug the two answers back in to the equation to check your answers. 6(15/6) + 6(1/2) = 18, 15 + 3 = 18✅. -6(15/6) + 2(1/2) = -14, -15 + 1 = -14✅.