Question

Which equation can be used to represent the statement?

The sum of one-sixth of a number and negative two is equal to negative two-thirds.

Answer 1

Let the number is m

then:
one-sixth of a number = 1/6 m = m/6

and:
sum of one-sixth of a number and negative two = m/6 - 2

and:
sum of one-sixth of a number and negative two is equal to negative two-thirds : m/6 - 2 = -2/3


solving for m:
m/6 - 2 = -2/3
m/6 = -2/3 + 2

m/6 = 4/3 *6
m = 8

Your number is: six



Done
I hope that helps!

Answer 2

`(1)/(6)x+(-2)=-(2)/(3)`

Explanation:

The sum of one-sixth of a number and negative two is equal to negative two-thirds.

LEt the unknown number be x

one -sixth is
`(1)/(6)`

one-sixth of a number is
`(1)/(6)x`

The sum of one-sixth of a number and negative two

Sum represents the addition, expression becomes
`(1)/(6)x+(-2)`

Now this expression is equal to negative two-thirds.
`-(2)/(3)`

The equation becomes

`(1)/(6)x+(-2)=-(2)/(3)`