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

4a = 2b − 7
(1 point)

1 answer

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

Starting with the equation 4a = 2b - 7, we can start by adding 7 to both sides to get rid of the -7 on the right side:

4a + 7 = 2b

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

(4a + 7)/2 = b

Simplifying the right side further:

2a + 7/2 = b

Now, plugging in a = 3:

2(3) + 7/2 = b

6 + 7/2 = b

To simplify further, we need to find a common denominator for 6 and 7/2. The common denominator is 2:

12/2 + 7/2 = b

Now, combining the fractions:

19/2 = b

Therefore, when a = 3, b is equal to 19/2.