solve for b then find the value of b when a = 3. 4a = 2b − 7

1 answer

To solve for b, we need to isolate it on one side of the equation.
We can start by isolating the term with b on one side:

4a = 2b – 7

We can then add 7 to both sides of the equation to get rid of the -7:

4a + 7 = 2b

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

(4a + 7) / 2 = b

Simplifying further, we have:

b = (4a + 7) / 2

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

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

b = (12 + 7) / 2

b = 19 / 2

b = 9.5

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