Question

if you subtract 19 from my number and multiply the difference by -7, the result is -105. what is my number

Answer 1

number is 34

Explanation:

let the number be n then the difference of n and 19 is n - 19

multiplying n - 19 by - 7 gives - 105

the equation is then

- 7(n - 19) = - 105 ( divide both sides by - 7 )

`(-7)/(-7)` (n - 19) =
`(-105)/(-7)` ( simplify both sides )

n - 19 = 15 ( add 19 to both sides )

n - 19 + 19 = 15 + 19 , that is

n = 34

the number is 34