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?
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.
The equation after adding 6 to both sides becomes: 9x - 6 + 6 = 12 + 6
This simplifies to: 9x = 18
To isolate the variable x, and solve for x, Marion needs to divide both sides of the equation by 9.
Dividing both sides of the equation by 9 gives: (9x)/9 = 18/9
Simplifying further: x = 2
Therefore, each side needs to be divided by 9 in the next step.
To solve the equation 9x − 6 = 12, Marion correctly added 6 to both sides of the equation to isolate the variable term on one side. The equation now becomes 9x = 18.
Next, Marion needs to divide both sides of the equation by a value to isolate the variable x. Since 9x means 9 multiplied by x, to undo this multiplication Marion should divide both sides of the equation by 9.
By dividing both sides by 9, the equation becomes: (9x)/9 = 18/9.
Simplifying this further, we have x = 2.
So, Marion needs to divide each side of the equation by 9 to find the value of x.