To solve for b in the equation A=2/3mb, multiply both sides by 3/(2m), which cancels the 2/3m on the right side, leaving b = A * (3/(2m)).
To solve for b in the given equation A=2/3mb, we need to isolate b by performing algebraic operations. Here is the step-by-step solution:
Multiply both sides of the equation by the reciprocal of (2/3)m to isolate b, which means we will multiply by 3/(2m).
The equation becomes A * (3/(2m)) = (2/3mb) * (3/(2m)).
The (2/3)m and (3/(2m)) factors cancel each other out on the right side, leaving b by itself.
Therefore, the solution for (b) is b = A * (3/(2m)).
Now you can substitute the known value of A and m to find the specific value for b.