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? (1 point)
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To solve the equation 9x - 6 = 12, Marion adds 6 to both sides of the equation in the first step.
9x - 6 + 6 = 12 + 6
This simplifies to:
9x = 18
Now, to isolate the variable x on one side of the equation, we need to divide both sides by the coefficient of x, which is 9.
9x/9 = 18/9
This simplifies to:
x = 2
Therefore, in the next step, each side needs to be divided by 9.
To solve the equation 9x - 6 = 12, Marion first added 6 to both sides of the equation. This was done to isolate the variable term (9x) on one side of the equation. By adding 6 to both sides, the equation becomes:
9x = 12 + 6
Simplifying further,
9x = 18
To isolate the variable x, we need to divide both sides of the equation by the coefficient of x, which is 9. Dividing both sides by 9 gives:
(9x) / 9 = 18 / 9
Simplifying further,
x = 2
Therefore, in the next step, each side of the equation needs to be divided by 9.