Question:
You to rent a company A charges $25 per week plus a one-time fee of $52 Company b charges 37 per week plus a one-time fee of $16. After how many weeks are the total casts the same at both companies.
Solution:
Let's denote by w the number of weeks. Now, notice that for company A we have the following linear equation:

and for company B, we have the following linear equation:

then, to find after how many weeks are the total casts the same at both companies, we must equal the two previous equations and solve for w:

this is equivalent to:

this is equivalent to:

then, solving for w we get:

Then. we can conclude that the correct answer is:
after 3 weeks.