Question

What is an equivalent equation to find B1 when solving for B1 in the formula A = 3(by + Bx) - 24 - D^2?

a) B1 = (A - 24 - D^2) / (by + x)
b) B1 = A / (3by + 3Bx - 24 - D^2)
c) B1 = (A - 24 - D^2) / (3by + 3Bx)
d) B1 = A / (by + Bx - 8 - D^2)

Answer 1

To find an equivalent equation for B1 in A = 3(by + Bx) - 24 - D^2, the closest correct option, after correcting a typo, is B1 = (A + 24 + D^2) / (3by + 3Bx), assuming B1 is meant to be Bx.

Step-by-step explanation:

Finding Equivalent Equation for B1

To solve for B1 in the given formula A = 3(by + Bx) - 24 - D^2, we need to isolate B1. First, we need to identify a typo in the original formula. It seems that B1 should be Bx, since B1 isn't present elsewhere in the equation. Assuming this, we can start by adding 24 + D^2 to both sides of the equation:

A + 24 + D^2 = 3(by + Bx)

Next, divide both sides by 3(by + Bx) to get Bx alone:

Bx = (A + 24 + D^2) / (3by + 3x)

Since we are looking for an equivalent equation for B1, which we are assuming is meant to be Bx, option c) B1 = (A - 24 - D^2) / (3by + 3Bx) is the closest option once we correct for the misplaced negation on A. We rewrite the corrected form as:

B1 = (A + 24 + D^2) / (3by + 3Bx)

Note that the other options either incorrectly structure the equation or involve operations not present in the original formula.