Intermediate algebra

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Can you show the work of how to work this word problem ? A local electronics store will sell 7 ax adapters and 2 rechargeable flashlights for $86 or 3 ac adapters and 4 rechargeable flashlights for $84. What is the price of a single ax adapter and a single rechargeable flashlight ?

  • Intermediate algebra -

    let number of AC adapters be x
    let number of flashlights be y

    7x + 2y = 86
    3x + 4y = 84

    double the first equation
    14x + 4y = 172
    3x + 4y = 84
    subtract them
    11x = 88
    x = 8
    sub back into 1st:
    7(8) + 2y = 86
    2y = 30
    y = 15

    so 8 adapters and 15 flashlights.

    Check my answer to see if it fits the given data

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