Question

Question #9008c

Answer 1

`n = -4`

Explanation:

We need to convert this word problem into a mathematical problem.

Let's call "a number" `n`.

Next "the sum" means to "add" or `+`. So "the sum of a number and 5" can be written as `n + 5` using `n` to replace "a number".

Then "6 times" this means to multiply this by `6` giving:

`6 xx (n + 5)`

And this "is" or "equals or "`=`" `6` which we can write as;

`6 xx (n + 5) = 6`

We can solve for `n` by first dividing each side by `6`:

`(6 xx (n + 5))/6 = 6/6`

`(cancel(6) xx (n + 5))/cancel(6) = cancel(6)/cancel(6)`

`n + 5 = 1`

Finally, we subtract `5` from each side of the equation to solve for `n`:

`n + 5 - 5 = 1 - 5`

`n + 0 = -4`

`n = -4`