Question

Hat term can you add to StartFraction 5 over 6 EndFraction x minus 4 to make it equivalent to One-half x minus 4?

Negative one-third x
Negative one-third
One-half x
One-half

Answer 1

`(-x)/(3)`should be added to the given equation.

Explanation:

Let a is added to the given equation.

According to the given condition,

`(5x)/(6)-4+a=(x)/(2)-4\\\\a=(x)/(2)-4+4-(5x)/(6)\\\\a=(x)/(2)-(5x)/(6)\\\\a=(3x-5x)/(6)\\\\a=(-2x)/(6)\\\\a=(-x)/(3)`

So,
`(-x)/(3)`should be added to the given equation.