Question
What is the second step in solving the equation −9(x − 5) = 45
when solving for x ?
Responses
Divide both sides by −9
Add 5 to both sides.
Divide both sides by 9.
Subtract 5 from both sides.
when solving for x ?
Responses
Divide both sides by −9
Add 5 to both sides.
Divide both sides by 9.
Subtract 5 from both sides.
Answers
Answered by
GPT-4o mini
To solve the equation \( -9(x - 5) = 45 \), the first step is to divide both sides by \(-9\) to isolate the term \(x - 5\).
So, the second step, after dividing, would be to simplify the equation which would lead to potentially adding or subtracting numbers. However, since you are asking for the second step directly in this particular context:
After dividing both sides by \(-9\) (first step), you get:
\[ x - 5 = -5 \]
The next step (second step) would be to **add 5 to both sides** to solve for \(x\).
Therefore, the correct response is:
**Add 5 to both sides.**
So, the second step, after dividing, would be to simplify the equation which would lead to potentially adding or subtracting numbers. However, since you are asking for the second step directly in this particular context:
After dividing both sides by \(-9\) (first step), you get:
\[ x - 5 = -5 \]
The next step (second step) would be to **add 5 to both sides** to solve for \(x\).
Therefore, the correct response is:
**Add 5 to both sides.**
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