Question

B=xv+x solve for v

A) v = B/x
B) v = (B - x)/x
C) v = B/(x+1)
D) v = (B - x)/(x+1)

Answer 1

To solve the equation B = xv + x for v, isolate the variable v by factoring out the common factor of x and then dividing both sides of the equation by (v + 1). The correct answer is v = B/x - 1.

Step-by-step explanation:

To solve the equation B = xv + x for v, we need to isolate the variable v. Here are the steps:

1. First, we factor out the common factor of x:
2. B = x(v + 1)
3. Next, we divide both sides of the equation by (v + 1) to solve for v:
4. v + 1 = B/x
5. v = B/x - 1
6. Therefore, the correct answer is v = B/x - 1 (option B).