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

Question

asked Jun 25, 2021 131k views

1 Answer

Andrii Shvydkyi · Answer 1 · 2021-06-30T15:27:08+0000

Answer:

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

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.

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