Question

For the formula 4A = 36 – 7 for b, what steps would you take to solve the problem for the variable b?

A. Add 7 to both sides, then divide by 4.
B. Subtract 36 from both sides, then divide by 4.
C. Divide both sides by 4, then subtract 7.
D. Add 36 to both sides, then divide by 4.

Answer 1

To solve the equation 4A = 36 - 7 for b, subtract 7 from both sides and then divide both sides by 4.

Step-by-step explanation:

1. To solve the equation 4A = 36 - 7 for b, we want to isolate the variable b. We can do this by manipulating the equation using inverse operations.
2. First, we need to get rid of the constant term on the right side of the equation. To do this, we subtract 7 from both sides: 4A - 7 = 36 - 7.
3. Next, we want to isolate the term with the variable b. Since the coefficient of the term is 4, we can get rid of it by dividing both sides by 4: (4A - 7)/4 = (36 - 7)/4.
4. This simplifies to A - 7/4 = 29/4.
5. Therefore, the solution for b is (36 - 7)/4.