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Jason had $32. He spent all the money buying four CDs for x dollars each and two magazines for y dollars each. If Jason had bought five CDs and two magazines, he would have run short by $4. The following system of equations models this scenario:

4x + 2y = 32
5x + 2y = 36

Use the system of equations to solve for x and y.

(4, 8)
(5, 6)
(8, 4)
(6, 5)

Respuesta :

absor201

The solution is (4,8)

Step-by-step explanation:

Given equations are:

[tex]4x + 2y = 32\ \ \ \ Eqn\ 1\\5x + 2y = 36\ \ \ \ Eqn\ 2[/tex]

Subtracting equation 1 from equation 2:

[tex]5x+2y - (4x+2y) = 36-32\\5x+2y-4x-2y =4\\x = 4[/tex]

Putting x=4 in eqn 1

[tex]4(4)+2y = 32\\16 +2y = 32\\16+2y-16 = 32-16\\2y = 16[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2} = \frac{16}{2}\\y = 8[/tex]

Hence,

The solution is (4,8)

Keywords: simultaneous linear equations

Learn more about linear equation at:

  • brainly.com/question/5013374
  • brainly.com/question/5014716

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bryannprospere4

Answer:

A) (4,8)

Step-by-step explanation:

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