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

4a = 2b − 7
(1 point)
Responses

–nine-halves
– Image with alt text: nine-halves

five-halves
Image with alt text: five-halves

nineteen-halves
Image with alt text: nineteen-halves

17

1 answer

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

Given equation:
4a = 2b - 7

First, let's add 7 to both sides to eliminate the -7:
4a + 7 = 2b

Next, let's divide both sides by 2 to solve for b:
(4a + 7) / 2 = b

Simplifying further:
2a + 3.5 = b

Therefore, the value of b when a = 3 is:
2(3) + 3.5 = b
6 + 3.5 = b
9.5 = b

So, the correct answer is: nineteen-halves (9.5)