Question

The quotient of a number and -7, decreased by 2, is 10. Find the number.

Answer 1

Answer:

-84

Step-by-step explanation:

Let the number be x. Then we have,

$\frac{x}{-7}$ (the quotient of a number and -7)

$\frac{x}{-7}-2$ (decreased by 2)

$\frac{x}{-7}-2=10$ (is 10)

Now we can solve for x,:

$\frac{x}{-7}-2=10$

$\frac{x}{-7}=12$

$x=-84$

So, the original number is -84

Answer 2

Answer:

-84

Step-by-step explanation:

$\frac{n}{-7}$ -2 = 10

add 2 to each side to get:

$\frac{n}{-7}$ = 12

multiply each side by -7 to get:

n = -84