Question

Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?

Three-fourths (four-thirds) x = negative 6 (four-thirds)
Three-fourths (4) x = negative 6 (4)
Three-fourths (4) x = negative 6 (3)
Three-fourths (four-thirds) x = negative 6 (three-fourths)

Answer 1

A

Explanation:

Answer 2

option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

Explanation:

We have , The given expression as Three-fourths x = negative 6 , which can be written as
`(3)/(4) (x) = -6` . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's
`(3)/(4)` , Let's make coefficient of x as 1 by multiplying both side of equations by 4/3:

`(3)/(4) (x) = -6`

⇒
`(3)/(4) (x) = -6`

⇒
`(3)/(4)((4)/(3) ) (x) = -6((4)/(3) )`

⇒
`x = -6((4)/(3) )`

⇒
`x = -2(4)`

⇒
`x = -8`

Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).