Question

1. 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. use s for the cost of each song and a for the cost of each album. write a system of equations to represent the situation.

Explanation:

Step1: Analyze Person A's payment

Person A downloads 6 songs (each costing \( s \)) and 2 albums (each costing \( a \)), and pays $25.92. So the equation is \( 6s + 2a = 25.92 \).

Step2: Analyze Person B's payment

Person B downloads 4 songs (each costing \( s \)) and 3 albums (each costing \( a \)), and pays $33.93. So the equation is \( 4s + 3a = 33.93 \).

Answer:

The system of equations is \(

$$\begin{cases} 6s + 2a = 25.92 \\ 4s + 3a = 33.93 \end{cases}$$

\)