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24 January, 02:47

jayden and carson are selling t-shirts and sweatshirts for a fundraiser. jayden sells 9 t-shirts and 3 sweatshirts for $288. carson sells 1 t-shirt and 6 sweatshirts for $270. solve the system of equations for this situation. using elimination

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  1. 24 January, 04:14
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    sweatshirts cost $42

    t-shirts cost $18

    Step-by-step explanation:

    9x+3y=288

    x+6y=270

    substitute 270-6y for x in the first problem

    9 (270-6y) + 3y=288

    2430-54y+3y=288

    2430-51y=288

    51y=-2142

    y=42

    then plug y=42 into the second equation

    x+6 (42) = 270

    x+252=270

    x=18
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