Question

what is the solution to the equation

-1/3x-1/6=2/9

x= -1 1/6
x= 1 1/6
x= 3 1/3
x= -2 2/3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct solution to the equation -1/3x - 1/6 = 2/9 is x = -2 2/3.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation -1/3x - 1/6 = 2/9, you can follow these steps:

1. Multiply every term in the equation by the least common multiple (LCM) of the denominators, which is 18. This step eliminates the fractions.

-1/3x * 18 - 1/6 * 18 = 2/9 * 18
(-1/3) * 18x - (1/6) * 18 = (2/9) * 18

2. Simplify the equation by performing the multiplication:

-6x - 3 = 4

3. Isolate the "x" variable by moving the constant term to the other side of the equation:

-6x = 4 + 3
-6x = 7

4. Solve for "x" by dividing both sides of the equation by -6:

x = 7 / -6

5. Simplify the fraction:

x = -7/6

The solution to the equation -1/3x - 1/6 = 2/9 is x = -7/6.

Answer 3

[AI-generated answer — Explain Bot]

To find the solution to the equation, we can start by simplifying the equation on the left-hand side.

-1/3x - 1/6 = 2/9

To simplify the equation, we can first find a common denominator for the fractions on the left-hand side, which in this case is 6. So let's multiply both sides of the equation by 6.

6 * (-1/3x) - 6 * (1/6) = 6 * (2/9)

Simplifying the equation further, we get:

-2x - 1 = 4/3

Next, let's isolate the variable x by moving the constant term (-1) to the right-hand side of the equation. We can do this by adding 1 to both sides.

-2x = 4/3 + 1

Simplifying the right-hand side, we have:

-2x = 4/3 + 3/3

Combining the fractions:

-2x = 7/3

To isolate x, we divide both sides of the equation by -2.

(-2x) / -2 = (7/3) / -2

Simplifying further, we have:

x = -7/6

So the solution to the equation is x = -7/6, which can also be expressed as x = -1 1/6. Therefore, none of the options provided (x = -1 1/6, x = 1 1/6, x = 3 1/3, x = -2 2/3) are correct.