Question

Three less than 11 times a number is the same as the number decreased by 13

Answer 1

Answer: x = -1

Calculation/Explanation:

11x-3 = x-13
11x-3 -x = x-13 -x
10x-3 = -13
10x-3 +3 = -13 +3
10x = -10
10x /10 = -10/10
x = -1

Answer 2

`-1`.

Explanation:

Let x be our required number.

11 times the number would be
`11x`.

Three less than 11 times a number would be
`11x-3`.

The number decreased by 13 be
`x-13`.

We have been given that three less than 11 times a number is the same as the number decreased by 13. We can represent this information in an equation as:

`11x-3=x-13`

`11x-3+3=x-13+3`

`11x=x-10`

`11x-x=x-x-10`

`10x=-10`

`(10x)/(10)=(-10)/(10)`

`x=-1`

Therefore,our required number would be
`-1`.