Question

Solve the formula 27a + 1/3 * b = 4 for a.

Answer 1

Answer:

a = 4/27 - b/81

Step-by-step explanation:

27a + 1/3 * b = 4

Subtract the term with b from both sides.

27a = 4 - 1/3 *b

Divide both sides by 27.

a = 4/27 - 1/81 * b

a = 4/27 - b/81

Answer 2

Answer:

$\large\boxed{a=\dfrac{12-b}{81}}$

Step-by-step explanation:

$27a+\dfrac{1}{3}b=4\qquad\text{multiply both sides by 3}\\\\(3)(27a)+3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}b=(3)(4)\\\\81a+b=12\qquad\text{subtract}\ b\ \text{from both sides}\\\\81a=12-b\qquad\text{divide both sides b 81}\\\\a=\dfrac{12-b}{81}$