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19 June, 12:35

Jayden and Carson are selling T-shirts and sweatshirts for a fundraiser. Jayden sells 9 T-shirts and 3 sweatshirts for $420. Carson sells 1 T-shirt and 6 sweatshirts for $296. Solve the system of equations for this situation. using elimination

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  1. 19 June, 14:31
    0
    x = 32

    y = 44.

    Step-by-step explanation:

    x = 32

    y = 44.
  2. 19 June, 16:34
    0
    Let x = cost of one t-shirt

    Let y = cost of one sweatshirt

    Jayden: 9x + 3y = $420

    Carson: x + 6y = $296. Multiply Jayden's equation by - 2

    Jayden: - 18x - 6y = $-840

    Carson: x + 6y = $296. Add the equations together to eliminate variable y.

    New equation: - 17x = $-544. Divide each side by - 17.

    x = $32. Plug this value into one of the original equations.

    32 + 6y = $296. Subtract 32 from each side.

    6y = 264. Divide each side by 6.

    y = 44.

    Plug both your x and y value into one of the equations to ensure they're correct.

    9 (32) + 3 (44) = 420

    420 = 420.

    x = 32

    y = 44.
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