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31 May, 05:15

Given the system of equations, what is the value of x + y? x + 2y = 24 2x + y = 9

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  1. 31 May, 08:00
    0
    11

    Step-by-step explanation:

    x + 2y = 24 ... x = 24 - 2y

    now sub 24 - 2y in for x, back into the other equation

    2x + y = 9

    2 (24 - 2y) + y = 9

    48 - 4y + y = 9

    -4y + y = 9 - 48

    -3y = - 39

    y = - 39/-3

    y = 13

    x + 2y = 24

    x + 2 (13) = 24

    x + 26 = 24

    x = 24 - 26

    x = - 2

    so the value of x + y = - 2 + 13 = 11 <===
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