Caprice adds equations A and B to solve this system of equations. What makes this approach a valid method in general for solving a system of equations? (A) The method will give the correct solution, x = 3 and y = 1. 8(3) + 3(1) = 27 4(3) – 3(1) = 9 (B) Because the y-terms cancel: (8x + 3y) + (4x – 3y) = 8x + 4x + 3y – 3y = 12x (C) As long as addition is used on both sides or subtraction is used on both sides, a true equation will remain true. (D) Adding a quantity like 8x + 3y to one side of an equation and another quantity like 27 to the other side maintains the equality if the two quantities are equal.