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24 August, 11:03

Jackie goes to the mall every weekend with her friends. Last week, the group spent $28.00 on 2 salads and 4 fruit smoothies. This week, the group spent $38.00 on 3 salads and 5 fruit smoothies. Let x represent the cost of a salad and let y represent the cost of a smoothie. 2x + 4y = 28 3x + 5y = 38 If you multiply the first equation by - 3, what could you multiply the second equation by to eliminate the x-variable when adding the equations? What is the cost of a salad? What is the cost of a smoothie?

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  1. 24 August, 12:45
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    Salad (x) = 6, smoothie (y) = 4

    Step-by-step explanation:

    Salad=x

    Smoothie=y

    2x+4y=28 (1)

    3x+5y=38 (2)

    To eliminate the x - variable, equ (1) is multiplied by - 3 and equ (2) is multiplied by 2

    -6x-12y=-84 (3)

    6x+10y=76 (4)

    Add equ (3) and (4)

    -2y=-8

    y=-8/-2

    y=4

    Substitute y=4 into equ (1)

    2x+4y=28

    2x+4 (4) = 28

    2x+16=28

    2x=28-16

    2x=12

    x=12/2

    =6

    x=6, y=4
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