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? A. 17 B. 15 C. 9 D. 10. Please select the best answer from the choices provided.

(B) $15

Step-by-step explanation:

Big Video:  y = 2.49x + 9.99

Main Street:  y = 1.79x + 20.49

easiest way to solve would be to graph and find the point of intersection or set 2.49x + 9.99 and 1.79x + 20.49 equal to each other

2.49x + 9.99 = 1.79x + 20.49

subtract 1.79x from each side to get:

.70x + 9.99 = 20.49

subtract 9.99 from each side to get:

.70x = 10.50

divide each side by .70

x = 15

44

step-by-step explanation:

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.