Question

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

Answer 1

`\large\boxed{a=(12-b)/(81)}`

Explanation:

`27a+(1)/(3)b=4\qquad\text{multiply both sides by 3}\\\\(3)(27a)+3\!\!\!\!\diagup^1\cdot(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=(12-b)/(81)`

Answer 2

a = 4/27 - b/81

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