Answer :
Answer:
[tex]n=250[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-17+\frac{n}{5}=33[/tex]
And we need to solve for n.
First, let's isolate the n variable. To do so, let's add 17 to both sides:
[tex](-17+\frac{n}{5})+17=(33)+17[/tex]
The left side cancels. Add on the right:
[tex]\frac{n}{5}=50[/tex]
Now, let's multiply both sides by 5:
[tex]5(\frac{n}{5})=5(50)[/tex]
The left side cancels again. Multiply on the right:
[tex]n=250[/tex]
So, our solution is 250.
And we're done!
Checking:
Substitute 250 back for n:
[tex]-17+\frac{250}{5}\stackrel{?}{=}33[/tex]
Divide first:
[tex]-17+50\stackrel{?}{=}33[/tex]
We can rewrite this as:
[tex]50-17\stackrel{?}{=}33[/tex]
Subtract:
[tex]33\stackrel{\checkmark}{=}33[/tex]
This is indeed correct!