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karen received some gift cards for music and movie downloads for her birthday. Using one of them, she downloaded eight songs and nine movies, which cost a total of $115. Using another, she purchased 15 songs and nine movies, which cost a total of $129. How much does each download cost?

Respuesta :

absor201

One song download costs $2 and one movie download costs $11.

Step-by-step explanation:

Let,

Price of one song download = x

Price of one movie download = y

According to given statement;

8x+9y=115     Eqn 1

15x+9y=129   Eqn 2

Subtracting Eqn 1 from Eqn 2

[tex](15x+9y)-(8x+9y)=129-115\\15x+9y-8x-9y=14\\7x=14[/tex]

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{14}{7}\\x=2[/tex]

Putting x=2 in Eqn 1

[tex]8(2)+9y=115\\16+9y=115\\9y=115-16\\9y=99[/tex]

Dividing both sides by 9

[tex]\frac{9y}{9}=\frac{99}{9}\\y=11[/tex]

One song download costs $2 and one movie download costs $11.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1289682
  • brainly.com/question/12932203

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