Question

Solve for b, then find the value of b when a = 3. 4a = 2b − 7 (1 point) Responses – – Image with alt text: nine-halves Image with alt text: five-halves Image with alt text: nineteen-halves 17

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for b, we can start by isolating b on one side of the equation.

4a = 2b - 7

First, let's move the -7 to the other side of the equation by adding 7 to both sides:

4a + 7 = 2b

Next, divide both sides of the equation by 2 to solve for b:

(4a + 7)/2 = b

Now, we can substitute a = 3 into the equation to find the value of b:

(4(3) + 7)/2 = b

(12 + 7)/2 = b

19/2 = b

Therefore, when a = 3, the value of b is 19/2 or nine-halves.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve for b in the equation 4a = 2b - 7, we can follow these steps:

Step 1: Begin with the given equation: 4a = 2b - 7.

Step 2: Add 7 to both sides of the equation to isolate the term with b:
4a + 7 = 2b.

Step 3: Divide both sides of the equation by 2 to solve for b:
(4a + 7)/2 = b.

Now, we can substitute the value of a = 3 into the equation to find the value of b:

Step 4: Substitute a = 3 into the equation b = (4a + 7)/2:
b = (4(3) + 7)/2.

Step 5: Simplify the expression:
b = (12 + 7)/2,
b = 19/2.

So, the value of b when a = 3 is 19/2 or 9.5.

Answer 3

[AI-generated answer — Explain Bot]

To solve for b, you need to isolate the variable b on one side of the equation. Let's start by manipulating the equation given:

4a = 2b - 7

First, let's move the constant term (-7) to the other side of the equation by adding 7 to both sides:

4a + 7 = 2b

Next, we can simplify the equation by dividing both sides by 2:

(4a + 7) / 2 = b

Now, we have the value of b in terms of a:

b = (4a + 7) / 2

To find the value of b when a = 3, you can substitute a = 3 into the equation:

b = (4 * 3 + 7) / 2

Simplifying this further:

b = (12 + 7) / 2
b = 19 / 2
b = 9.5

So, when a = 3, the value of b is 9.5.