Question

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

Answer 1

Answer:

$n=250$

Step-by-step explanation:

So we have the equation:

$-17+\frac{n}{5}=33$

And we need to solve for n.

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

$(-17+\frac{n}{5})+17=(33)+17$

The left side cancels. Add on the right:

$\frac{n}{5}=50$

Now, let's multiply both sides by 5:

$5(\frac{n}{5})=5(50)$

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:

$-17+\frac{250}{5}\stackrel{?}{=}33$

Divide first:

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

We can rewrite this as:

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

Subtract:

$33\stackrel{\checkmark}{=}33$

This is indeed correct!