A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $5.45 to download 2 individual songs a

Question

A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $5.45 to download 2 individual songs and 3 albums. Person B pays $8.41 to download 5 individual songs and 4 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album?

in progress 0
Hồng Cúc 2 weeks 2021-09-05T16:14:36+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-09-05T16:16:09+00:00

    Answer:

    Amount charged for downloading individual songs = x dollars

    Amount charged for downloading an entire album = y dollars

    In respect to person A:

    6x + 2y = 25.92

    3x + y = 12.96

    y = 12.96 – 3x

    In respect to person B:

    4x + 3y = 33.93

    Putting the value of y from the first equation in the second, we get

    4x + 3(12.96 – 3x) = 33.93

    4x + 38.88 – 9x = 33.93

    – 5x = – 4.95

    x = 0.99 dollars

    Putting the value of x in the first equation, we get

    y = 12.96 – 3x

      = 12.96 – 2.97

      = 9.99 dollars

    Step-by-step explanation:

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )