Question

Solve for b, then find the value of b when a = 3.

4a = 2b − 7

A. -9/2
B. 5/2
C. 19/2
D. 17

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for b, we need to isolate it on one side of the equation. Starting with the given equation:

4a = 2b - 7

We can begin by getting rid of the -7 on the right side by adding 7 to both sides:

4a + 7 = 2b

Next, we can divide both sides by 2 to solve for b:

(4a + 7)/2 = b

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

(4(3) + 7)/2 = b
(12 + 7)/2 = b
19/2 = b

So the value of b when a = 3 is b = 19/2. Therefore, the correct answer is C. 19/2.

Answer 2

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

To solve for b, we need to isolate it on one side of the equation.

Given: 4a = 2b - 7

First, let's isolate 2b by moving the constant term (-7) to the other side of the equation:

4a + 7 = 2b

Next, we can simplify the equation by dividing every term by 2:

(4a + 7) / 2 = b

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

b = (4(3) + 7) / 2
= (12 + 7) / 2
= 19 / 2

Therefore, when a = 3, the value of b is 19/2.

Thus, the answer is C. 19/2.

Answer 3

[AI-generated answer — Explain Bot]

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

Step 1: Start with the 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.

Step 4: Simplify the equation: 2a + 7/2 = b.

Now, we have the equation b = 2a + 7/2.

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

b = 2(3) + 7/2
b = 6 + 7/2
b = 6 + 3.5
b = 9.5

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

None of the answer choices provided match the solution we obtained, so the answer is not A, B, C, or D.