Question

solve the equation for (a).

(k = 4a + 9ab)

• (a = k(4 + 9b))
• (a = 4(k + 9b))
• (a = \frac{4 + 9b}{k})
• (a = \frac{k}{4 + 9b})

Explanation:

Factor the variable

Using the Literal Equations and Rearranging Formulas knowledge points

$$ K = a(4 + 9b) $$

Isolate the variable

Using the Properties of Equality knowledge point

$$ a = \frac{K}{4 + 9b} $$

Answer:

• (A) \(a = K(4 + 9b)\)
• (B) \(a = 4(K + 9b)\)
• (C) \(a = \frac{4 + 9b}{K}\)
• (D) \(a = \frac{K}{4 + 9b}\) (Correct answer)