Question

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

Answer 1

Answer:

$\Large \boxed{a=\frac{-1}{4} }$

Step-by-step explanation:

$\displaystyle \frac{3}{a} \cdot x - 4 = 20$

Let x = -2.

$\displaystyle \frac{3}{a} \cdot (-2) - 4 = 20$

Solving for a.

$\displaystyle \frac{-6}{a}- 4 = 20$

Adding 4 to both sides.

$\displaystyle \frac{-6}{a} = 24$

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

$\displaystyle \frac{-6}{24} = a$

Simplifying.

$\displaystyle \frac{-1}{4} = a$