Question

A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 individual songs and 2 albums. Person B pays $33.93 to download 4 individual songs and 3 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album???

Answer 1

1/ y= -3x + 12.96

2/ $9.99 for an entire album & $0.99 for a song

Explanation:

We know that the

The amount charged for downloading individual songs = x dollars

And the amount charged for downloading an entire album = y dollars

Let's write a function for person A first

6x + 2y = 25.92

Solve, and we will get

y = -3x + 12.96

Now to person B

4x + 3y = 33.93

Putting the value of y from the first equation in the second

4x + 3(12.96 - 3x) = 33.93

- 5x = - 4.95

x = $0.99

Then we take

y = 12.96 - 3x

= 12.96 - 2.97

= $9.99