What is the solution of the equation x/3−9=6 solving for x ? (1 point)

3 answers

To solve for x, we can isolate x by performing the following steps:

x/3 − 9 = 6 **We add 9 to both sides to eliminate the negative constant term on the left side**

x/3 − 9 + 9 = 6 + 9

x/3 = 15 **We multiply both sides by 3 to eliminate the fraction on the left side**

3 * (x/3) = 15 * 3

x = 45

Therefore, the solution to the equation x/3 − 9 = 6 is x = 45.
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? (1 point)
As a first step, Marion added 6 to both sides of the equation:

9x - 6 + 6 = 12 + 6

This simplifies to:

9x = 18

To solve for x in the next step, each side of the equation needs to be divided by the coefficient of x, which is 9.

Dividing both sides by 9:

(9x)/9 = 18/9

This simplifies to:

x = 2

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