Question

You download a digital album for $10. Then you and your friend download the same number of individual songs for $0.99 each. Write a system of linear equations that represents this situation. Let x represent the number of individual songs downloaded and y represent the total cost. System of equations:

y=
y=

Answer 1

The system of linear equations that represents the situation is: y = 10 and y = 0.99x.

Step-by-step explanation:

To write a system of linear equations that represents this situation, we need to consider the cost of downloading the digital album and the cost of downloading individual songs. Let x represent the number of individual songs downloaded and y represent the total cost. The cost of the digital album is a one-time fee of $10, so we can write the equation y = 10. The cost of downloading individual songs is $0.99 each, so the cost for x number of songs would be 0.99x. Therefore, the equation for the cost of individual songs is y = 0.99x. So, the system of equations would be:

y = 10

y = 0.99x

Answer 2

Y=10+(X*0.99)

Y=X*0.99 X= number songs downloaded