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)
In the next step, each side of the equation needs to be divided by 9.
To isolate the variable x, Marion added 6 to both sides of the equation in the first step. Next, in order to solve for x, each side needs to be divided by 9.
To solve the equation 9x − 6 = 12, Marion first adds 6 to both sides of the equation to isolate the variable. This step is called "moving" or "canceling" the constant term on one side of the equation.
After adding 6 to both sides, the equation becomes:
9x − 6 + 6 = 12 + 6
Simplifying the equation, we have:
9x = 18
To solve for x, the variable, we need to isolate it on one side of the equation. Since 9x is being multiplied by 9, the opposite operation is division. So, to solve for x, we divide both sides of the equation by 9.
Dividing both sides by 9, we have:
(9x) / 9 = 18 / 9
Simplifying the equation further, we get:
x = 2
Therefore, in the next step, each side of the equation needs to be divided by 9.