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

Question

4a = 2b − 7

–nine-halves

five-halves

nineteen-halves

17

Answer 1

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

4a = 2b - 7
First, distribute the 2 to both terms in the parentheses.
4a = 2b - 7
Next, add 7 to both sides of the equation to move the constant term to the other side.
4a + 7 = 2b
Finally, divide both sides of the equation by 2 to solve for b.
2a + 3.5 = b

To find the value of b when a = 3, substitute 3 for a in the equation.
2(3) + 3.5 = b
6 + 3.5 = b
9.5 = b

Therefore, when a = 3, b = 9.5.