You want to rent a television Company A charges $50 per week plus a one-time fee of $15. Company B charges 130 per week plus a one time fee of $55. After how many wears are the total costs the same at the companies?

Company A: y = 50x + 15
Company B: y = 130x + 55

Set the equations equal to each other and solve for x (number of weeks).
50x + 15 = 130x + 55

Subtract 50x from both sides:
15 = 80x + 55

Subtract 55 from both sides:
-40 = 80x

Did you have a typo? The companies will never have the same cost because company B costs so much more and weeks cannot be negative.

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