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

Question

4a=2b-7

Answer 1

To solve for b, we start by isolating the b term on one side of the equation.

4a = 2b - 7

First, we add 7 to both sides to get rid of the -7:

4a + 7 = 2b

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

(4a + 7) / 2 = b

Simplifying the expression:

2a + 3.5 = b

Now we have the equation in terms of b.

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

2(3) + 3.5 = b

Simplifying the expression:

6 + 3.5 = b

Combining like terms:

9.5 = b

So, when a = 3, b = 9.5.