Question

3/a x - 4 = 20. x equals -2

Answer 1

`\Large \boxed{a=(-1)/(4) }`

Explanation:

`\displaystyle (3)/(a) \cdot x - 4 = 20`

Let x = -2.

`\displaystyle (3)/(a) \cdot (-2) - 4 = 20`

Solving for a.

`\displaystyle (-6)/(a)- 4 = 20`

Adding 4 to both sides.

`\displaystyle (-6)/(a) = 24`

Multiplying both sides by a, then dividing both sides by 24.

`\displaystyle (-6)/(24) = a`

Simplifying.

`\displaystyle (-1)/(4) = a`