Asked by Unknown
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
4a = 2b − 7
A. -9/2
B. 5/2
C. 19/2
D. 17
Answers
Answered by
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.
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.