Question

Solve the following equation for B: F(−G+B)=n

a. B=n+G−F
b. B=F+G−n
c. B=n−G−F
d. B=F−G+n

Answer 1

The correct solution for the equation (F(-G+B) = n when solving for B is given by option a: B = n + G - F.

Step-by-step explanation:

Isolate B on one side of the equation:

• Start by dividing both sides of the equation by \(F\) to isolate the expression inside the parentheses.
• The equation becomes \(-G + B = \frac{n}{F}\).

Move the term with G to the other side:

Add \(G\) to both sides of the equation to get B = \frac{n}{F} + G\).

Combine terms:

Combine the terms on the right side to obtain the final solution \(B = n + G - F\).

The correct solution for the equation is option a, B = n + G - F. This solution is obtained by isolating \(B\) on one side of the equation and rearranging terms accordingly. The step-by-step process ensures a clear understanding of how the solution is derived, leading to the correct answer.