Question

Solve the following equation, and check your solution. Be sure to show all work {please :)}

-17+
`(n)/(5)`=33

Answer 1

`n=250`

Explanation:

So we have the equation:

`-17+(n)/(5)=33`

And we need to solve for n.

First, let's isolate the n variable. To do so, let's add 17 to both sides:

`(-17+(n)/(5))+17=(33)+17`

The left side cancels. Add on the right:

`(n)/(5)=50`

Now, let's multiply both sides by 5:

`5((n)/(5))=5(50)`

The left side cancels again. Multiply on the right:

`n=250`

So, our solution is 250.

And we're done!

Checking:

Substitute 250 back for n:

`-17+(250)/(5)\stackrel{?}{=}33`

Divide first:

`-17+50\stackrel{?}{=}33`

We can rewrite this as:

`50-17\stackrel{?}{=}33`

Subtract:

`33\stackrel{\checkmark}{=}33`

This is indeed correct!