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Which of the following equations could you solve by first adding six and then dividing by negative three?

-3 x - 6 = -9
x/-3 + 6 = -9
6 - 3 x = -9
3 x - 6 = -9

1 answer

To determine which equation can be solved by first adding six and then dividing by negative three, we will analyze each option.

  1. -3x - 6 = -9:

    • If we add 6 to both sides, we get -3x = -3.
    • Then dividing by -3 gives x = 1.

  2. x / -3 + 6 = -9:

    • If we subtract 6 from both sides, we get x / -3 = -15.
    • Dividing by -3 at this stage does not hold.

  3. 6 - 3x = -9:

    • If we add 6 to both sides, we get 6 - 3x + 6 = -3. This changes the situation considerably and does not lead us to a clearer division by -3.

  4. 3x - 6 = -9:

    • If we add 6 to both sides, we get 3x = -3.
    • Dividing by 3 will yield x = -1.

Since the task specifies adding six and then dividing by negative three, the best-fit option we can solve straightforwardly is:

  • -3x - 6 = -9

Thus, the equation you could solve by first adding six and then dividing by negative three is: -3x - 6 = -9.