Question

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.

Answer 1

see explanation

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