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

Answer:

$-1$.

Step-by-step 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:

$11x-3=x-13$

$11x-3+3=x-13+3$

$11x=x-10$

$11x-x=x-x-10$

$10x=-10$

$\frac{10x}{10}=\frac{-10}{10}$

$x=-1$

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