Question

Solve the equation: 2 - b/3 = -5/2.

Answer 1

To solve the equation 2 - b/3 = -5/2, we can follow these steps: multiply both sides by 3, subtract 6 from both sides, and multiply both sides by -1. The solution is b = 27/2.

Step-by-step explanation:

To solve the equation 2 - b/3 = -5/2, we need to isolate the variable b.

1. First, we can multiply both sides of the equation by 3 to eliminate the fraction: 3(2 - b/3) = 3(-5/2)
2. This simplifies to 6 - b = -15/2
3. Next, we can subtract 6 from both sides to get -b = -15/2 - 6
4. Combining the fractions on the right side gives -b = -15/2 - 12/2
5. Further simplifying, we have -b = -27/2
6. To solve for b, we can multiply both sides by -1 to get b = 27/2

Therefore, the solution to the equation is b = 27/2.