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What is the solution of the equation x/3−9=6 solving for x ? (1 point)
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Answered by
Connexus student
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)
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.