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

Question

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)

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Gabriella 5 days 2021-09-13T15:37:07+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T15:38:10+00:00

    The solution is (4,8)

    Step-by-step explanation:

    Given equations are:

    4x + 2y = 32\ \ \ \ Eqn\ 1\\5x + 2y = 36\ \ \ \ Eqn\ 2

    Subtracting equation 1 from equation 2:

    5x+2y - (4x+2y) = 36-32\\5x+2y-4x-2y =4\\x = 4

    Putting x=4 in eqn 1

    4(4)+2y = 32\\16 +2y = 32\\16+2y-16 = 32-16\\2y = 16

    Dividing both sides by 2

    \frac{2y}{2} = \frac{16}{2}\\y = 8

    Hence,

    The solution is (4,8)

    Keywords: simultaneous linear equations

    Learn more about linear equation at:

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

    #LearnwithBrainly

    0
    2021-09-13T15:38:29+00:00

    Answer:

    A) (4,8)

    Step-by-step explanation:

    i just took the test

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