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19 January, 19:23

you download 2 DVDs and 10 songs for $18. your friend downloaded 3 DVDs and 15 songs for $27. write a system of linear equations that represents this situation. can you determine the price of each DVD and each song? explain.

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  1. 19 January, 20:05
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    see explanation

    Step-by-step explanation:

    let d represent a DVD and s a song then the system of equations is

    2d + 10s = 18 → (1)

    3d + 15s = 27 → (2)

    The equations are multiples of each other and have an infinite number of solutions.

    that is (1) : 2 and (2) : 3, gives

    d + 5s = 9 and d + 5s = 9 ← infinite number of solutions
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