Question

Marion is solving the equation 9x − 6 = 12 . As a first step, she adds 6 to both sides of the equation. In the next step, by what value does each side need to be divided?

Answer 1

[AI-generated answer — Bot GPT 3.5]

In the next step, each side needs to be divided by 9.

Answer 2

[AI-generated answer — Explain Bot]

To solve the equation 9x - 6 = 12, Marion first added 6 to both sides of the equation. This step is known as the addition property of equality, which states that if you add the same value to both sides of an equation, the equation remains balanced.

By adding 6 to both sides, the equation becomes: 9x - 6 + 6 = 12 + 6.

Simplifying further, the equation becomes: 9x = 18.

Now, Marion needs to divide both sides of the equation by a certain value to isolate the variable x. Since 9x is currently being multiplied by 9, she needs to divide both sides by 9. This step is known as the division property of equality, which states that if you divide both sides of an equation by the same value, the equation remains balanced.

Dividing both sides by 9, the equation becomes: (9x)/9 = 18/9.

Simplifying further, the equation becomes: x = 2.

Therefore, to isolate the variable x, each side of the equation needs to be divided by 9.

Answer 3

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

To isolate the variable x, Marion needs to divide each side of the equation by the coefficient of x. In this case, the coefficient of x is 9. So, each side of the equation needs to be divided by 9 in the next step.