Question

Solve for B in the equation: -q + 1/6tB = m^2.

a) B = (m^2 + q) / (1/6t)
b) B = (m^2 - q) / (1/6t)
c) B = (1/6t - q) / m^2
d) B = (1/6t + q) / m^2

Answer 1

To solve for B in the given equation, terms are rearranged to isolate B, resulting in B equaling (m^2 + q) divided by (1/6t), which matches option a).

Step-by-step explanation:

The student is asking to solve for the variable B in the equation -q + 1/6tB = m^2. To isolate B, we want to move all other terms to the other side of the equation. We can add q to both sides, which gives us 1/6tB = m^2 + q. We then multiply both sides of the equation by 6t to remove the fraction, resulting in B = 6t(m^2 + q). Finally, we divide both sides by 6t, leading us to the answer B = (m^2 + q) / (1/6t). Therefore, the correct answer to the student's question is option a) B = (m^2 + q) / (1/6t).