Question

At Nolan's Car Rentals, customers will pay $60 to rent a mid-sized car for the first day, plus $5 for each additional day. At Westford Rent-a-Car, the price for a mid-sized car is $50 for the first day and $10 for every additional day beyond that. Find the solution to the system.

Answer 1

Answer:

2, 70

Step-by-step explanation:

It is given that :

At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.

Therefore this gives the equation :

y = 5x +60 ..........(1)

At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.

So the equation will be :

y = 10x + 50.......(2)

Solving (1) and (2), we get

 5x + 60 = 10x + 50

⇒ 60 - 50 = 10x - 5x

⇒ 10 =  5x

∴ x = 2

Now putting the value of x = 2 in equation (1), we get

y = 5x +60

y = 5(2) +60

y = 70

Therefore, (x, y) = (2, 70)