Gabe bought 6 singles and 9 albums from an online music store. Jenny bought 4 singles and 6 albums at a different online music store. The system below represents their totals for singles that cost x dollars each and albums that cost y dollars each.

{6x+9y=964x+6y=38
A photo of a set of headphones is shown.

Part A

Solve the system. What does the solution mean?

Hint(s): Find the point(s), if any, where the lines intersect.
Lines that intersect once have one solution. The point where they intersect is the solution. Parallel lines have no solutions. Lines that are the same have infinitely many solutions. Every point that lies on the line is a solution.

The solution (6,9) means that the cost at each store is the same when purchasing 6 singles and 9 albums.
The solution , ( 6 , 9 ), means that the cost at each store is the same when purchasing , 6, singles and , 9, albums.

The true equation shows the system has infinitely many solutions.
The true equation shows the system has infinitely many solutions.

The solution (4,6) means that the cost at each store is the same when purchasing 4 singles and 6 albums.
The solution , ( 4 , 6 ), means that the cost at each store is the same when purchasing , 4, singles and , 6, albums.

The false equation shows the system has no solution.