ne method for solving 3(x−4)=18

Question

is to first divide by 3, then add 4. Which method below would also result in the correct answer?(1 point)
Responses

First, distribute the 3, then add 4, and lastly divide by 3.
First, distribute the 3, then add 4, and lastly divide by 3.

First, divide by 3, then subtract 4.
First, divide by 3, then subtract 4.

First, multiply by 1/3
, then subtract 4.
First, multiply by Start Fraction 1 over 3 End Fraction , then subtract 4.

First, distribute the 3, then add 12, and lastly divide by 3.
First, distribute the 3, then add 12, and lastly divide by 3.

Answer 1

To solve the equation \( 3(x - 4) = 18 \), let's first look at the method you mentioned: dividing by 3 and then adding 4.

1. Original equation: \( 3(x - 4) = 18 \)
2. Divide by 3: \[ x - 4 = 6 \]
3. Add 4: \[ x = 10 \]

Now, let's evaluate the options given to see which method will also result in the correct answer.

1. First, distribute the 3, then add 4, and lastly divide by 3.
   Distributing gives: \( 3x - 12 = 18 \)
   Then, add 12:
   \( 3x = 30 \)
   Divide by 3:
   \( x = 10 \)

2. First, divide by 3, then subtract 4.
   Divide by 3: \( x - 4 = 6 \) (same as before)
   Now, to find \( x \), we add 4 rather than subtract. So this does not work.

3. First, multiply by \( \frac{1}{3} \), then subtract 4.
   Multiply by \( \frac{1}{3} \) gives \( \frac{1}{3} \cdot 3(x - 4) = \frac{18}{3} \)
   This simplifies to \( x - 4 = 6 \). Again, we need to add 4 to solve for \( x \), so this does not work.

4. First, distribute the 3, then add 12, and lastly divide by 3.
   Distributing gives: \( 3x - 12 = 18 \)
   Then, add 12:
   \( 3x = 30 \)
   Divide by 3:
   \( x = 10 \)

The methods that lead to the correct answer are:

1. First, distribute the 3, then add 4, and lastly divide by 3.
2. First, distribute the 3, then add 12, and lastly divide by 3.

Thus, the correct responses would be option 1 and option 4.

Answer 2

one
pike one

Answer 3

It seems like you may be asking for help with a specific question or concept related to "one pike one." However, I'm unclear about what you mean by that phrase. Could you please clarify? Are you looking for help with a mathematical concept, a particular problem, or something else altogether?

Answer 4

1 or 4?

Answer 5

Based on the methods provided to solve the equation \(3(x - 4) = 18\), the two valid methods leading to the correct answer are:

1. First, distribute the 3, then add 4, and lastly divide by 3.
2. First, distribute the 3, then add 12, and lastly divide by 3.

If you need to choose just one, you can choose option 1. Both methods result in the correct solution of \(x = 10\), but option 1 is a more direct approach.

So, to answer your question clearly: choose option 1.