Explanation:
To find ordered pairs for the equation 6x + 3y = 0, you can plug in values for one variable and solve for the other. Here are a few ordered pairs (x, y) that satisfy this equation:
(0, 0) - When both x and y are 0, the equation becomes 6(0) + 3(0) = 0, which is true.
(1, -2) - If you let x = 1, then the equation becomes 6(1) + 3y = 0, and when you solve for y, you get 3y = -6, so y = -2. Therefore, (1, -2) is a solution.
(-1, 2) - Similarly, if you let x = -1, the equation becomes 6(-1) + 3y = 0, and when you solve for y, you get 3y = 6, so y = 2. Therefore, (-1, 2) is a solution as well.