Define variables and write systems of equations for the situation. solve using substitution. suppose you want to join a video store. big video offers a special discount card that costs $9.99 per year. with the discount card, each video rental costs $2.49. a discount card from main street video cost $20.49 per year. with the main street video discount card, each video rental costs $1.79. after how many video rentals is the cost the same?

15 videos

Step-by-step explanation:

Let x be the no. of videos rented

Let y represents the total cost.

Discount card from big video costs $9.99 per year

With discount card , Cost of 1 video = $2.49

So, cost of x videos = 2.49 x

So, total cost of videos from Big video = 9.99+2.49 x

Discount card from Main Street Video cost $20.49 per year.

With discount card cost of 1 video = $ 1.79

So, cost of x video = 1.79 x

So, total cost of videos from Main Street Video = 20.49+1.79 x

Now the system of equations are :

  --1

   ---2

Now using substitution method substitute the value of y from 1 in 2

Thus the cost will be same after 15 video rentals .

46.2+112.3

step-by-step explanation: