Question

11 less than three times a number is the same as 75 less than the product of -1 and the number. Find the value of the number.

Answer 1

Let's translate the two expressions into formulae:

11 less than three times a number:
`3x-11`

75 less than the product of -1 and the number
`-x-75`

Those two are the same, so we have

`3x-11=-x-75`

Add
`x` to both sides:

`4x-11=-75`

Add 11 to both sides:

`4x=-64`

Divide both sides by 4 to get the final answer.

Answer 2

-16

Explanation:

(3*-16)-11=-59

(-1*-16)-75=-59