Question

A new online store charges all customers one price to download any song and another price to download any game. Jenna paid $20.50 to download eight songs and three games, and Dwayne paid $22.50 to download four songs and five games. How much does the store charge to download each song and game?

Write a system of linear equations based on the description. Use x to represent the cost of each song and y to represent the cost of each game.
Solve the system using the elimination method. Show all the steps leading to your answer.
Write 1-2 sentences to explain what the solution means for this situation.

Answer 1

X songs
Y games

A) 8X + 3Y = 20.50
B) 4X + 5Y = 22.50

Multiplying equation B) by -2
B) -8X -10Y = -45.00 then adding this to
A) 8X + 3Y = 20.50 we get
-7Y = -24.50
Y = 3.50

I think you can calculate X right?